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Finding the Fourth Proportional to 286,512.20, 429,854.70 and 153,456.20

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Solution

The fourth proportional to 286,512.20, 429,854.70 and 153,456.20 is: 230,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,512.20 : 429,854.70 = 153,456.20 : x
  2. Step 2: Convert to fraction form
    286,512.20/429,854.70 = 153,456.20/x
  3. Step 3: Cross multiply
    286,512.20x = 429,854.70 × 153,456.20
  4. Step 4: Simplify right side
    286,512.20x = 65,963,868,814.14
  5. Step 5: Solve for x
    x = 65,963,868,814.14/286,512.20
  6. Step 6: Final answer
    x = 230,230.58

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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.