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Finding the Fourth Proportional to 564,276.27, 778,701.27 and 322,564.23

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Solution

The fourth proportional to 564,276.27, 778,701.27 and 322,564.23 is: 445,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,276.27 : 778,701.27 = 322,564.23 : x
  2. Step 2: Convert to fraction form
    564,276.27/778,701.27 = 322,564.23/x
  3. Step 3: Cross multiply
    564,276.27x = 778,701.27 × 322,564.23
  4. Step 4: Simplify right side
    564,276.27x = 251,181,175,557.57
  5. Step 5: Solve for x
    x = 251,181,175,557.57/564,276.27
  6. Step 6: Final answer
    x = 445,138.65

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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.