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Finding the Fourth Proportional to 473,053.50, 709,683.93 and 177,565.50

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Solution

The fourth proportional to 473,053.50, 709,683.93 and 177,565.50 is: 266,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,053.50 : 709,683.93 = 177,565.50 : x
  2. Step 2: Convert to fraction form
    473,053.50/709,683.93 = 177,565.50/x
  3. Step 3: Cross multiply
    473,053.50x = 709,683.93 × 177,565.50
  4. Step 4: Simplify right side
    473,053.50x = 126,015,381,872.42
  5. Step 5: Solve for x
    x = 126,015,381,872.42/473,053.50
  6. Step 6: Final answer
    x = 266,387.17

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