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Finding the Fourth Proportional to 429,398.58, 644,097.88 and 113,880.10

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Solution

The fourth proportional to 429,398.58, 644,097.88 and 113,880.10 is: 170,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,398.58 : 644,097.88 = 113,880.10 : x
  2. Step 2: Convert to fraction form
    429,398.58/644,097.88 = 113,880.10/x
  3. Step 3: Cross multiply
    429,398.58x = 644,097.88 × 113,880.10
  4. Step 4: Simplify right side
    429,398.58x = 73,349,930,984.19
  5. Step 5: Solve for x
    x = 73,349,930,984.19/429,398.58
  6. Step 6: Final answer
    x = 170,820.15

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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.