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Finding the Fourth Proportional to 406,031.42, 609,044.39 and 317,359.50

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Solution

The fourth proportional to 406,031.42, 609,044.39 and 317,359.50 is: 476,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,031.42 : 609,044.39 = 317,359.50 : x
  2. Step 2: Convert to fraction form
    406,031.42/609,044.39 = 317,359.50/x
  3. Step 3: Cross multiply
    406,031.42x = 609,044.39 × 317,359.50
  4. Step 4: Simplify right side
    406,031.42x = 193,286,021,501.41
  5. Step 5: Solve for x
    x = 193,286,021,501.41/406,031.42
  6. Step 6: Final answer
    x = 476,037.11

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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.