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Finding the Fourth Proportional to 286,729.60, 395,695.40 and 157,661.36

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Solution

The fourth proportional to 286,729.60, 395,695.40 and 157,661.36 is: 217,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,729.60 : 395,695.40 = 157,661.36 : x
  2. Step 2: Convert to fraction form
    286,729.60/395,695.40 = 157,661.36/x
  3. Step 3: Cross multiply
    286,729.60x = 395,695.40 × 157,661.36
  4. Step 4: Simplify right side
    286,729.60x = 62,385,874,909.74
  5. Step 5: Solve for x
    x = 62,385,874,909.74/286,729.60
  6. Step 6: Final answer
    x = 217,577.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.