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Finding the Fourth Proportional to 508,734.30, 763,101.45 and 153,803.10

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Solution

The fourth proportional to 508,734.30, 763,101.45 and 153,803.10 is: 230,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,734.30 : 763,101.45 = 153,803.10 : x
  2. Step 2: Convert to fraction form
    508,734.30/763,101.45 = 153,803.10/x
  3. Step 3: Cross multiply
    508,734.30x = 763,101.45 × 153,803.10
  4. Step 4: Simplify right side
    508,734.30x = 117,367,368,624.50
  5. Step 5: Solve for x
    x = 117,367,368,624.50/508,734.30
  6. Step 6: Final answer
    x = 230,704.65

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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.