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Finding the Fourth Proportional to 462,032.16, 637,965.36 and 354,432

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Solution

The fourth proportional to 462,032.16, 637,965.36 and 354,432 is: 489,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,032.16 : 637,965.36 = 354,432 : x
  2. Step 2: Convert to fraction form
    462,032.16/637,965.36 = 354,432/x
  3. Step 3: Cross multiply
    462,032.16x = 637,965.36 × 354,432
  4. Step 4: Simplify right side
    462,032.16x = 226,115,338,475.52
  5. Step 5: Solve for x
    x = 226,115,338,475.52/462,032.16
  6. Step 6: Final answer
    x = 489,393.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.