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Finding the Fourth Proportional to 420,598.13, 580,633.53 and 259,541.87

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Solution

The fourth proportional to 420,598.13, 580,633.53 and 259,541.87 is: 358,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,598.13 : 580,633.53 = 259,541.87 : x
  2. Step 2: Convert to fraction form
    420,598.13/580,633.53 = 259,541.87/x
  3. Step 3: Cross multiply
    420,598.13x = 580,633.53 × 259,541.87
  4. Step 4: Simplify right side
    420,598.13x = 150,698,712,160.90
  5. Step 5: Solve for x
    x = 150,698,712,160.90/420,598.13
  6. Step 6: Final answer
    x = 358,296.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.