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Finding the Fourth Proportional to 706,452.16, 974,908.56 and 384,165.76

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Solution

The fourth proportional to 706,452.16, 974,908.56 and 384,165.76 is: 530,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,452.16 : 974,908.56 = 384,165.76 : x
  2. Step 2: Convert to fraction form
    706,452.16/974,908.56 = 384,165.76/x
  3. Step 3: Cross multiply
    706,452.16x = 974,908.56 × 384,165.76
  4. Step 4: Simplify right side
    706,452.16x = 374,526,487,882.91
  5. Step 5: Solve for x
    x = 374,526,487,882.91/706,452.16
  6. Step 6: Final answer
    x = 530,151.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.