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Finding the Fourth Proportional to 425,102.70, 586,634.59 and 234,133.86

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Solution

The fourth proportional to 425,102.70, 586,634.59 and 234,133.86 is: 323,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,102.70 : 586,634.59 = 234,133.86 : x
  2. Step 2: Convert to fraction form
    425,102.70/586,634.59 = 234,133.86/x
  3. Step 3: Cross multiply
    425,102.70x = 586,634.59 × 234,133.86
  4. Step 4: Simplify right side
    425,102.70x = 137,351,020,966.22
  5. Step 5: Solve for x
    x = 137,351,020,966.22/425,102.70
  6. Step 6: Final answer
    x = 323,100.80

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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.