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Finding the Fourth Proportional to 556,557.16, 768,049.12 and 314,834.58

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Solution

The fourth proportional to 556,557.16, 768,049.12 and 314,834.58 is: 434,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,557.16 : 768,049.12 = 314,834.58 : x
  2. Step 2: Convert to fraction form
    556,557.16/768,049.12 = 314,834.58/x
  3. Step 3: Cross multiply
    556,557.16x = 768,049.12 × 314,834.58
  4. Step 4: Simplify right side
    556,557.16x = 241,808,419,061.41
  5. Step 5: Solve for x
    x = 241,808,419,061.41/556,557.16
  6. Step 6: Final answer
    x = 434,471.85

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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.