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Finding the Fourth Proportional to 382,953.90, 574,387.08 and 102,493.02

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Solution

The fourth proportional to 382,953.90, 574,387.08 and 102,493.02 is: 153,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,953.90 : 574,387.08 = 102,493.02 : x
  2. Step 2: Convert to fraction form
    382,953.90/574,387.08 = 102,493.02/x
  3. Step 3: Cross multiply
    382,953.90x = 574,387.08 × 102,493.02
  4. Step 4: Simplify right side
    382,953.90x = 58,870,666,478.18
  5. Step 5: Solve for x
    x = 58,870,666,478.18/382,953.90
  6. Step 6: Final answer
    x = 153,727.82

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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.