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Finding the Fourth Proportional to 483,703.32, 723,729.78 and 434,592.12

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Solution

The fourth proportional to 483,703.32, 723,729.78 and 434,592.12 is: 650,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,703.32 : 723,729.78 = 434,592.12 : x
  2. Step 2: Convert to fraction form
    483,703.32/723,729.78 = 434,592.12/x
  3. Step 3: Cross multiply
    483,703.32x = 723,729.78 × 434,592.12
  4. Step 4: Simplify right side
    483,703.32x = 314,527,259,397.33
  5. Step 5: Solve for x
    x = 314,527,259,397.33/483,703.32
  6. Step 6: Final answer
    x = 650,248.30

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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.