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Finding the Fourth Proportional to 545,829.30, 818,853.30 and 457,693.20

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Solution

The fourth proportional to 545,829.30, 818,853.30 and 457,693.20 is: 686,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,829.30 : 818,853.30 = 457,693.20 : x
  2. Step 2: Convert to fraction form
    545,829.30/818,853.30 = 457,693.20/x
  3. Step 3: Cross multiply
    545,829.30x = 818,853.30 × 457,693.20
  4. Step 4: Simplify right side
    545,829.30x = 374,783,587,207.56
  5. Step 5: Solve for x
    x = 374,783,587,207.56/545,829.30
  6. Step 6: Final answer
    x = 686,631.49

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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.