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Finding the Fourth Proportional to 424,098.84, 636,463.63 and 171,381.52

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Solution

The fourth proportional to 424,098.84, 636,463.63 and 171,381.52 is: 257,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,098.84 : 636,463.63 = 171,381.52 : x
  2. Step 2: Convert to fraction form
    424,098.84/636,463.63 = 171,381.52/x
  3. Step 3: Cross multiply
    424,098.84x = 636,463.63 × 171,381.52
  4. Step 4: Simplify right side
    424,098.84x = 109,078,102,314.51
  5. Step 5: Solve for x
    x = 109,078,102,314.51/424,098.84
  6. Step 6: Final answer
    x = 257,199.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.