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Finding the Fourth Proportional to 473,707.68, 653,708.72 and 258,842.82

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Solution

The fourth proportional to 473,707.68, 653,708.72 and 258,842.82 is: 357,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,707.68 : 653,708.72 = 258,842.82 : x
  2. Step 2: Convert to fraction form
    473,707.68/653,708.72 = 258,842.82/x
  3. Step 3: Cross multiply
    473,707.68x = 653,708.72 × 258,842.82
  4. Step 4: Simplify right side
    473,707.68x = 169,207,808,543.39
  5. Step 5: Solve for x
    x = 169,207,808,543.39/473,707.68
  6. Step 6: Final answer
    x = 357,198.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.