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Finding the Fourth Proportional to 438,007.80, 657,011.70 and 188,689.80

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Solution

The fourth proportional to 438,007.80, 657,011.70 and 188,689.80 is: 283,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,007.80 : 657,011.70 = 188,689.80 : x
  2. Step 2: Convert to fraction form
    438,007.80/657,011.70 = 188,689.80/x
  3. Step 3: Cross multiply
    438,007.80x = 657,011.70 × 188,689.80
  4. Step 4: Simplify right side
    438,007.80x = 123,971,406,270.66
  5. Step 5: Solve for x
    x = 123,971,406,270.66/438,007.80
  6. Step 6: Final answer
    x = 283,034.70

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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.