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Finding the Fourth Proportional to 473,057.50, 709,689.93 and 177,569.50

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Solution

The fourth proportional to 473,057.50, 709,689.93 and 177,569.50 is: 266,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,057.50 : 709,689.93 = 177,569.50 : x
  2. Step 2: Convert to fraction form
    473,057.50/709,689.93 = 177,569.50/x
  3. Step 3: Cross multiply
    473,057.50x = 709,689.93 × 177,569.50
  4. Step 4: Simplify right side
    473,057.50x = 126,019,286,025.14
  5. Step 5: Solve for x
    x = 126,019,286,025.14/473,057.50
  6. Step 6: Final answer
    x = 266,393.17

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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.