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Finding the Fourth Proportional to 286,330.40, 429,544.20 and 86,649.20

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Solution

The fourth proportional to 286,330.40, 429,544.20 and 86,649.20 is: 129,988.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,330.40 : 429,544.20 = 86,649.20 : x
  2. Step 2: Convert to fraction form
    286,330.40/429,544.20 = 86,649.20/x
  3. Step 3: Cross multiply
    286,330.40x = 429,544.20 × 86,649.20
  4. Step 4: Simplify right side
    286,330.40x = 37,219,661,294.64
  5. Step 5: Solve for x
    x = 37,219,661,294.64/286,330.40
  6. Step 6: Final answer
    x = 129,988.51

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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.