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Finding the Fourth Proportional to 523,175.52, 785,135.88 and 238,904.40

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Solution

The fourth proportional to 523,175.52, 785,135.88 and 238,904.40 is: 358,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,175.52 : 785,135.88 = 238,904.40 : x
  2. Step 2: Convert to fraction form
    523,175.52/785,135.88 = 238,904.40/x
  3. Step 3: Cross multiply
    523,175.52x = 785,135.88 × 238,904.40
  4. Step 4: Simplify right side
    523,175.52x = 187,572,416,329.87
  5. Step 5: Solve for x
    x = 187,572,416,329.87/523,175.52
  6. Step 6: Final answer
    x = 358,526.75

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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.