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Finding the Fourth Proportional to 424,125.91, 584,859.85 and 280,833.67

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Solution

The fourth proportional to 424,125.91, 584,859.85 and 280,833.67 is: 387,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,125.91 : 584,859.85 = 280,833.67 : x
  2. Step 2: Convert to fraction form
    424,125.91/584,859.85 = 280,833.67/x
  3. Step 3: Cross multiply
    424,125.91x = 584,859.85 × 280,833.67
  4. Step 4: Simplify right side
    424,125.91x = 164,248,338,111.15
  5. Step 5: Solve for x
    x = 164,248,338,111.15/424,125.91
  6. Step 6: Final answer
    x = 387,263.16

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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.