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Finding the Fourth Proportional to 406,032.17, 609,045.50 and 317,360.25

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Solution

The fourth proportional to 406,032.17, 609,045.50 and 317,360.25 is: 476,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,032.17 : 609,045.50 = 317,360.25 : x
  2. Step 2: Convert to fraction form
    406,032.17/609,045.50 = 317,360.25/x
  3. Step 3: Cross multiply
    406,032.17x = 609,045.50 × 317,360.25
  4. Step 4: Simplify right side
    406,032.17x = 193,286,832,934.78
  5. Step 5: Solve for x
    x = 193,286,832,934.78/406,032.17
  6. Step 6: Final answer
    x = 476,038.23

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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.