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Finding the Fourth Proportional to 473,675.96, 710,561.19 and 136,724.78

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Solution

The fourth proportional to 473,675.96, 710,561.19 and 136,724.78 is: 205,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,675.96 : 710,561.19 = 136,724.78 : x
  2. Step 2: Convert to fraction form
    473,675.96/710,561.19 = 136,724.78/x
  3. Step 3: Cross multiply
    473,675.96x = 710,561.19 × 136,724.78
  4. Step 4: Simplify right side
    473,675.96x = 97,151,322,379.29
  5. Step 5: Solve for x
    x = 97,151,322,379.29/473,675.96
  6. Step 6: Final answer
    x = 205,100.81

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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.