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Finding the Fourth Proportional to 508,329.76, 762,500.40 and 175,828

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Solution

The fourth proportional to 508,329.76, 762,500.40 and 175,828 is: 263,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,329.76 : 762,500.40 = 175,828 : x
  2. Step 2: Convert to fraction form
    508,329.76/762,500.40 = 175,828/x
  3. Step 3: Cross multiply
    508,329.76x = 762,500.40 × 175,828
  4. Step 4: Simplify right side
    508,329.76x = 134,068,920,331.20
  5. Step 5: Solve for x
    x = 134,068,920,331.20/508,329.76
  6. Step 6: Final answer
    x = 263,743.99

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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.