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Finding the Fourth Proportional to 461,565.78, 692,657.88 and 162,047.22

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Solution

The fourth proportional to 461,565.78, 692,657.88 and 162,047.22 is: 243,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,565.78 : 692,657.88 = 162,047.22 : x
  2. Step 2: Convert to fraction form
    461,565.78/692,657.88 = 162,047.22/x
  3. Step 3: Cross multiply
    461,565.78x = 692,657.88 × 162,047.22
  4. Step 4: Simplify right side
    461,565.78x = 112,243,283,865.09
  5. Step 5: Solve for x
    x = 112,243,283,865.09/461,565.78
  6. Step 6: Final answer
    x = 243,179.39

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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.