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Finding the Fourth Proportional to 473,834.80, 653,682.09 and 282,737.71

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Solution

The fourth proportional to 473,834.80, 653,682.09 and 282,737.71 is: 390,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,834.80 : 653,682.09 = 282,737.71 : x
  2. Step 2: Convert to fraction form
    473,834.80/653,682.09 = 282,737.71/x
  3. Step 3: Cross multiply
    473,834.80x = 653,682.09 × 282,737.71
  4. Step 4: Simplify right side
    473,834.80x = 184,820,577,194.61
  5. Step 5: Solve for x
    x = 184,820,577,194.61/473,834.80
  6. Step 6: Final answer
    x = 390,052.77

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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.