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Finding the Fourth Proportional to 465,823.64, 698,883.08 and 166,297.61

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Solution

The fourth proportional to 465,823.64, 698,883.08 and 166,297.61 is: 249,499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,823.64 : 698,883.08 = 166,297.61 : x
  2. Step 2: Convert to fraction form
    465,823.64/698,883.08 = 166,297.61/x
  3. Step 3: Cross multiply
    465,823.64x = 698,883.08 × 166,297.61
  4. Step 4: Simplify right side
    465,823.64x = 116,222,581,547.54
  5. Step 5: Solve for x
    x = 116,222,581,547.54/465,823.64
  6. Step 6: Final answer
    x = 249,499.11

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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.