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Finding the Fourth Proportional to 357,700.34, 537,005.76 and 231,867.08

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Solution

The fourth proportional to 357,700.34, 537,005.76 and 231,867.08 is: 348,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,700.34 : 537,005.76 = 231,867.08 : x
  2. Step 2: Convert to fraction form
    357,700.34/537,005.76 = 231,867.08/x
  3. Step 3: Cross multiply
    357,700.34x = 537,005.76 × 231,867.08
  4. Step 4: Simplify right side
    357,700.34x = 124,513,957,514.38
  5. Step 5: Solve for x
    x = 124,513,957,514.38/357,700.34
  6. Step 6: Final answer
    x = 348,095.72

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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.