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Finding the Fourth Proportional to 317,429.48, 475,941.66 and 137,417.96

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Solution

The fourth proportional to 317,429.48, 475,941.66 and 137,417.96 is: 206,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,429.48 : 475,941.66 = 137,417.96 : x
  2. Step 2: Convert to fraction form
    317,429.48/475,941.66 = 137,417.96/x
  3. Step 3: Cross multiply
    317,429.48x = 475,941.66 × 137,417.96
  4. Step 4: Simplify right side
    317,429.48x = 65,402,931,996.21
  5. Step 5: Solve for x
    x = 65,402,931,996.21/317,429.48
  6. Step 6: Final answer
    x = 206,039.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.