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Finding the Fourth Proportional to 564,274.77, 778,699.19 and 322,562.73

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Solution

The fourth proportional to 564,274.77, 778,699.19 and 322,562.73 is: 445,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,274.77 : 778,699.19 = 322,562.73 : x
  2. Step 2: Convert to fraction form
    564,274.77/778,699.19 = 322,562.73/x
  3. Step 3: Cross multiply
    564,274.77x = 778,699.19 × 322,562.73
  4. Step 4: Simplify right side
    564,274.77x = 251,179,340,301.72
  5. Step 5: Solve for x
    x = 251,179,340,301.72/564,274.77
  6. Step 6: Final answer
    x = 445,136.58

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.