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Finding the Fourth Proportional to 521,720.20, 780,830.70 and 458,734.60

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Solution

The fourth proportional to 521,720.20, 780,830.70 and 458,734.60 is: 686,563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,720.20 : 780,830.70 = 458,734.60 : x
  2. Step 2: Convert to fraction form
    521,720.20/780,830.70 = 458,734.60/x
  3. Step 3: Cross multiply
    521,720.20x = 780,830.70 × 458,734.60
  4. Step 4: Simplify right side
    521,720.20x = 358,194,058,832.22
  5. Step 5: Solve for x
    x = 358,194,058,832.22/521,720.20
  6. Step 6: Final answer
    x = 686,563.52

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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.