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Finding the Fourth Proportional to 564,274.64, 778,699.01 and 322,562.61

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Solution

The fourth proportional to 564,274.64, 778,699.01 and 322,562.61 is: 445,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,274.64 : 778,699.01 = 322,562.61 : x
  2. Step 2: Convert to fraction form
    564,274.64/778,699.01 = 322,562.61/x
  3. Step 3: Cross multiply
    564,274.64x = 778,699.01 × 322,562.61
  4. Step 4: Simplify right side
    564,274.64x = 251,179,185,070.02
  5. Step 5: Solve for x
    x = 251,179,185,070.02/564,274.64
  6. Step 6: Final answer
    x = 445,136.41

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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.