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Finding the Fourth Proportional to 406,037.24, 609,052.50 and 317,365.28

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Solution

The fourth proportional to 406,037.24, 609,052.50 and 317,365.28 is: 476,045.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,037.24 : 609,052.50 = 317,365.28 : x
  2. Step 2: Convert to fraction form
    406,037.24/609,052.50 = 317,365.28/x
  3. Step 3: Cross multiply
    406,037.24x = 609,052.50 × 317,365.28
  4. Step 4: Simplify right side
    406,037.24x = 193,292,117,197.20
  5. Step 5: Solve for x
    x = 193,292,117,197.20/406,037.24
  6. Step 6: Final answer
    x = 476,045.29

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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.