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Finding the Fourth Proportional to 341,462.40, 478,747.20 and 341,462.40

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Solution

The fourth proportional to 341,462.40, 478,747.20 and 341,462.40 is: 478,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,462.40 : 478,747.20 = 341,462.40 : x
  2. Step 2: Convert to fraction form
    341,462.40/478,747.20 = 341,462.40/x
  3. Step 3: Cross multiply
    341,462.40x = 478,747.20 × 341,462.40
  4. Step 4: Simplify right side
    341,462.40x = 163,474,167,905.28
  5. Step 5: Solve for x
    x = 163,474,167,905.28/341,462.40
  6. Step 6: Final answer
    x = 478,747.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.