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Finding the Fourth Proportional to 315,030.80, 472,423.35 and 137,416.70

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Solution

The fourth proportional to 315,030.80, 472,423.35 and 137,416.70 is: 206,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,030.80 : 472,423.35 = 137,416.70 : x
  2. Step 2: Convert to fraction form
    315,030.80/472,423.35 = 137,416.70/x
  3. Step 3: Cross multiply
    315,030.80x = 472,423.35 × 137,416.70
  4. Step 4: Simplify right side
    315,030.80x = 64,918,857,759.95
  5. Step 5: Solve for x
    x = 64,918,857,759.95/315,030.80
  6. Step 6: Final answer
    x = 206,071.46

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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.