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Finding the Fourth Proportional to 465,833.16, 698,897.40 and 166,307.32

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Solution

The fourth proportional to 465,833.16, 698,897.40 and 166,307.32 is: 249,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,833.16 : 698,897.40 = 166,307.32 : x
  2. Step 2: Convert to fraction form
    465,833.16/698,897.40 = 166,307.32/x
  3. Step 3: Cross multiply
    465,833.16x = 698,897.40 × 166,307.32
  4. Step 4: Simplify right side
    465,833.16x = 116,231,753,548.97
  5. Step 5: Solve for x
    x = 116,231,753,548.97/465,833.16
  6. Step 6: Final answer
    x = 249,513.70

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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.