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Finding the Fourth Proportional to 532,303.29, 732,714.03 and 464,200.11

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Solution

The fourth proportional to 532,303.29, 732,714.03 and 464,200.11 is: 638,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,303.29 : 732,714.03 = 464,200.11 : x
  2. Step 2: Convert to fraction form
    532,303.29/732,714.03 = 464,200.11/x
  3. Step 3: Cross multiply
    532,303.29x = 732,714.03 × 464,200.11
  4. Step 4: Simplify right side
    532,303.29x = 340,125,933,324.54
  5. Step 5: Solve for x
    x = 340,125,933,324.54/532,303.29
  6. Step 6: Final answer
    x = 638,970.19

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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.