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Finding the Fourth Proportional to 315,607.80, 473,414.10 and 105,245.40

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Solution

The fourth proportional to 315,607.80, 473,414.10 and 105,245.40 is: 157,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,607.80 : 473,414.10 = 105,245.40 : x
  2. Step 2: Convert to fraction form
    315,607.80/473,414.10 = 105,245.40/x
  3. Step 3: Cross multiply
    315,607.80x = 473,414.10 × 105,245.40
  4. Step 4: Simplify right side
    315,607.80x = 49,824,656,320.14
  5. Step 5: Solve for x
    x = 49,824,656,320.14/315,607.80
  6. Step 6: Final answer
    x = 157,868.90

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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.