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Finding the Fourth Proportional to 218,714.40, 328,417.20 and 159,962.40

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Solution

The fourth proportional to 218,714.40, 328,417.20 and 159,962.40 is: 240,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,714.40 : 328,417.20 = 159,962.40 : x
  2. Step 2: Convert to fraction form
    218,714.40/328,417.20 = 159,962.40/x
  3. Step 3: Cross multiply
    218,714.40x = 328,417.20 × 159,962.40
  4. Step 4: Simplify right side
    218,714.40x = 52,534,403,513.28
  5. Step 5: Solve for x
    x = 52,534,403,513.28/218,714.40
  6. Step 6: Final answer
    x = 240,196.36

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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.