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Finding the Fourth Proportional to 566,053.92, 781,254.72 and 339,714

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Solution

The fourth proportional to 566,053.92, 781,254.72 and 339,714 is: 468,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,053.92 : 781,254.72 = 339,714 : x
  2. Step 2: Convert to fraction form
    566,053.92/781,254.72 = 339,714/x
  3. Step 3: Cross multiply
    566,053.92x = 781,254.72 × 339,714
  4. Step 4: Simplify right side
    566,053.92x = 265,403,165,950.08
  5. Step 5: Solve for x
    x = 265,403,165,950.08/566,053.92
  6. Step 6: Final answer
    x = 468,865.52

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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.