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Finding the Fourth Proportional to 473,957.38, 710,935.93 and 189,775.90

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Solution

The fourth proportional to 473,957.38, 710,935.93 and 189,775.90 is: 284,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,957.38 : 710,935.93 = 189,775.90 : x
  2. Step 2: Convert to fraction form
    473,957.38/710,935.93 = 189,775.90/x
  3. Step 3: Cross multiply
    473,957.38x = 710,935.93 × 189,775.90
  4. Step 4: Simplify right side
    473,957.38x = 134,918,505,958.09
  5. Step 5: Solve for x
    x = 134,918,505,958.09/473,957.38
  6. Step 6: Final answer
    x = 284,663.79

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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.