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Finding the Fourth Proportional to 473,763.06, 710,841.42 and 207,386.46

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Solution

The fourth proportional to 473,763.06, 710,841.42 and 207,386.46 is: 311,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,763.06 : 710,841.42 = 207,386.46 : x
  2. Step 2: Convert to fraction form
    473,763.06/710,841.42 = 207,386.46/x
  3. Step 3: Cross multiply
    473,763.06x = 710,841.42 × 207,386.46
  4. Step 4: Simplify right side
    473,763.06x = 147,418,885,715.17
  5. Step 5: Solve for x
    x = 147,418,885,715.17/473,763.06
  6. Step 6: Final answer
    x = 311,165.85

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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.