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Finding the Fourth Proportional to 424,127.16, 584,861.58 and 280,834.92

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Solution

The fourth proportional to 424,127.16, 584,861.58 and 280,834.92 is: 387,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,127.16 : 584,861.58 = 280,834.92 : x
  2. Step 2: Convert to fraction form
    424,127.16/584,861.58 = 280,834.92/x
  3. Step 3: Cross multiply
    424,127.16x = 584,861.58 × 280,834.92
  4. Step 4: Simplify right side
    424,127.16x = 164,249,555,030.37
  5. Step 5: Solve for x
    x = 164,249,555,030.37/424,127.16
  6. Step 6: Final answer
    x = 387,264.88

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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.