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Finding the Fourth Proportional to 317,502.30, 476,386.73 and 197,659.47

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Solution

The fourth proportional to 317,502.30, 476,386.73 and 197,659.47 is: 296,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,502.30 : 476,386.73 = 197,659.47 : x
  2. Step 2: Convert to fraction form
    317,502.30/476,386.73 = 197,659.47/x
  3. Step 3: Cross multiply
    317,502.30x = 476,386.73 × 197,659.47
  4. Step 4: Simplify right side
    317,502.30x = 94,162,347,578.54
  5. Step 5: Solve for x
    x = 94,162,347,578.54/317,502.30
  6. Step 6: Final answer
    x = 296,572.17

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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.