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Finding the Fourth Proportional to 582,523.60, 872,035.80 and 345,744.40

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Solution

The fourth proportional to 582,523.60, 872,035.80 and 345,744.40 is: 517,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,523.60 : 872,035.80 = 345,744.40 : x
  2. Step 2: Convert to fraction form
    582,523.60/872,035.80 = 345,744.40/x
  3. Step 3: Cross multiply
    582,523.60x = 872,035.80 × 345,744.40
  4. Step 4: Simplify right side
    582,523.60x = 301,501,494,449.52
  5. Step 5: Solve for x
    x = 301,501,494,449.52/582,523.60
  6. Step 6: Final answer
    x = 517,578.16

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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.