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Finding the Fourth Proportional to 473,897.31, 710,845.97 and 189,715.80

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Solution

The fourth proportional to 473,897.31, 710,845.97 and 189,715.80 is: 284,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,897.31 : 710,845.97 = 189,715.80 : x
  2. Step 2: Convert to fraction form
    473,897.31/710,845.97 = 189,715.80/x
  3. Step 3: Cross multiply
    473,897.31x = 710,845.97 × 189,715.80
  4. Step 4: Simplify right side
    473,897.31x = 134,858,711,875.33
  5. Step 5: Solve for x
    x = 134,858,711,875.33/473,897.31
  6. Step 6: Final answer
    x = 284,573.70

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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.