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Finding the Fourth Proportional to 465,706.17, 698,830.31 and 195,814.76

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Solution

The fourth proportional to 465,706.17, 698,830.31 and 195,814.76 is: 293,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,706.17 : 698,830.31 = 195,814.76 : x
  2. Step 2: Convert to fraction form
    465,706.17/698,830.31 = 195,814.76/x
  3. Step 3: Cross multiply
    465,706.17x = 698,830.31 × 195,814.76
  4. Step 4: Simplify right side
    465,706.17x = 136,841,290,201.38
  5. Step 5: Solve for x
    x = 136,841,290,201.38/465,706.17
  6. Step 6: Final answer
    x = 293,836.11

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1.5x scale

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.