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Finding the Fourth Proportional to 286,053.70, 429,080.55 and 219,828.10

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Solution

The fourth proportional to 286,053.70, 429,080.55 and 219,828.10 is: 329,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,053.70 : 429,080.55 = 219,828.10 : x
  2. Step 2: Convert to fraction form
    286,053.70/429,080.55 = 219,828.10/x
  3. Step 3: Cross multiply
    286,053.70x = 429,080.55 × 219,828.10
  4. Step 4: Simplify right side
    286,053.70x = 94,323,962,053.46
  5. Step 5: Solve for x
    x = 94,323,962,053.46/286,053.70
  6. Step 6: Final answer
    x = 329,742.15

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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.