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Finding the Fourth Proportional to 475,551, 712,823.76 and 175,839.12

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Solution

The fourth proportional to 475,551, 712,823.76 and 175,839.12 is: 263,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,551 : 712,823.76 = 175,839.12 : x
  2. Step 2: Convert to fraction form
    475,551/712,823.76 = 175,839.12/x
  3. Step 3: Cross multiply
    475,551x = 712,823.76 × 175,839.12
  4. Step 4: Simplify right side
    475,551x = 125,342,302,673.49
  5. Step 5: Solve for x
    x = 125,342,302,673.49/475,551
  6. Step 6: Final answer
    x = 263,572.79

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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.