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Finding the Fourth Proportional to 286,117.70, 429,176.55 and 219,892.10

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Solution

The fourth proportional to 286,117.70, 429,176.55 and 219,892.10 is: 329,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,117.70 : 429,176.55 = 219,892.10 : x
  2. Step 2: Convert to fraction form
    286,117.70/429,176.55 = 219,892.10/x
  3. Step 3: Cross multiply
    286,117.70x = 429,176.55 × 219,892.10
  4. Step 4: Simplify right side
    286,117.70x = 94,372,532,850.26
  5. Step 5: Solve for x
    x = 94,372,532,850.26/286,117.70
  6. Step 6: Final answer
    x = 329,838.15

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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.