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Finding the Fourth Proportional to 463,037.40, 694,167.30 and 241,421.40

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Solution

The fourth proportional to 463,037.40, 694,167.30 and 241,421.40 is: 361,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,037.40 : 694,167.30 = 241,421.40 : x
  2. Step 2: Convert to fraction form
    463,037.40/694,167.30 = 241,421.40/x
  3. Step 3: Cross multiply
    463,037.40x = 694,167.30 × 241,421.40
  4. Step 4: Simplify right side
    463,037.40x = 167,586,841,400.22
  5. Step 5: Solve for x
    x = 167,586,841,400.22/463,037.40
  6. Step 6: Final answer
    x = 361,929.38

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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.