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Finding the Fourth Proportional to 477,381.70, 715,919.46 and 157,461.76

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Solution

The fourth proportional to 477,381.70, 715,919.46 and 157,461.76 is: 236,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,381.70 : 715,919.46 = 157,461.76 : x
  2. Step 2: Convert to fraction form
    477,381.70/715,919.46 = 157,461.76/x
  3. Step 3: Cross multiply
    477,381.70x = 715,919.46 × 157,461.76
  4. Step 4: Simplify right side
    477,381.70x = 112,729,938,189.85
  5. Step 5: Solve for x
    x = 112,729,938,189.85/477,381.70
  6. Step 6: Final answer
    x = 236,142.14

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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.