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Finding the Fourth Proportional to 425,143.69, 586,698.29 and 234,157.08

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Solution

The fourth proportional to 425,143.69, 586,698.29 and 234,157.08 is: 323,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,143.69 : 586,698.29 = 234,157.08 : x
  2. Step 2: Convert to fraction form
    425,143.69/586,698.29 = 234,157.08/x
  3. Step 3: Cross multiply
    425,143.69x = 586,698.29 × 234,157.08
  4. Step 4: Simplify right side
    425,143.69x = 137,379,557,034.64
  5. Step 5: Solve for x
    x = 137,379,557,034.64/425,143.69
  6. Step 6: Final answer
    x = 323,136.77

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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.