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Finding the Fourth Proportional to 532,400.80, 797,434.80 and 462,416.80

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Solution

The fourth proportional to 532,400.80, 797,434.80 and 462,416.80 is: 692,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,400.80 : 797,434.80 = 462,416.80 : x
  2. Step 2: Convert to fraction form
    532,400.80/797,434.80 = 462,416.80/x
  3. Step 3: Cross multiply
    532,400.80x = 797,434.80 × 462,416.80
  4. Step 4: Simplify right side
    532,400.80x = 368,747,248,424.64
  5. Step 5: Solve for x
    x = 368,747,248,424.64/532,400.80
  6. Step 6: Final answer
    x = 692,612.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.