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Finding the Fourth Proportional to 424,664.98, 586,392.21 and 282,061.64

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Solution

The fourth proportional to 424,664.98, 586,392.21 and 282,061.64 is: 389,480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,664.98 : 586,392.21 = 282,061.64 : x
  2. Step 2: Convert to fraction form
    424,664.98/586,392.21 = 282,061.64/x
  3. Step 3: Cross multiply
    424,664.98x = 586,392.21 × 282,061.64
  4. Step 4: Simplify right side
    424,664.98x = 165,398,749,901.81
  5. Step 5: Solve for x
    x = 165,398,749,901.81/424,664.98
  6. Step 6: Final answer
    x = 389,480.55

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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.