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Finding the Fourth Proportional to 343,432.60, 515,148.90 and 194,133.40

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Solution

The fourth proportional to 343,432.60, 515,148.90 and 194,133.40 is: 291,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,432.60 : 515,148.90 = 194,133.40 : x
  2. Step 2: Convert to fraction form
    343,432.60/515,148.90 = 194,133.40/x
  3. Step 3: Cross multiply
    343,432.60x = 515,148.90 × 194,133.40
  4. Step 4: Simplify right side
    343,432.60x = 100,007,607,463.26
  5. Step 5: Solve for x
    x = 100,007,607,463.26/343,432.60
  6. Step 6: Final answer
    x = 291,200.10

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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.