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Finding the Fourth Proportional to 425,132.30, 586,639.14 and 261,762.86

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Solution

The fourth proportional to 425,132.30, 586,639.14 and 261,762.86 is: 361,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,132.30 : 586,639.14 = 261,762.86 : x
  2. Step 2: Convert to fraction form
    425,132.30/586,639.14 = 261,762.86/x
  3. Step 3: Cross multiply
    425,132.30x = 586,639.14 × 261,762.86
  4. Step 4: Simplify right side
    425,132.30x = 153,560,339,074.34
  5. Step 5: Solve for x
    x = 153,560,339,074.34/425,132.30
  6. Step 6: Final answer
    x = 361,206.00

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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.