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Finding the Fourth Proportional to 582,563.60, 872,095.80 and 345,784.40

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Solution

The fourth proportional to 582,563.60, 872,095.80 and 345,784.40 is: 517,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,563.60 : 872,095.80 = 345,784.40 : x
  2. Step 2: Convert to fraction form
    582,563.60/872,095.80 = 345,784.40/x
  3. Step 3: Cross multiply
    582,563.60x = 872,095.80 × 345,784.40
  4. Step 4: Simplify right side
    582,563.60x = 301,557,122,945.52
  5. Step 5: Solve for x
    x = 301,557,122,945.52/582,563.60
  6. Step 6: Final answer
    x = 517,638.11

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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.