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Finding the Fourth Proportional to 429,758.84, 644,644.20 and 114,214.16

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Solution

The fourth proportional to 429,758.84, 644,644.20 and 114,214.16 is: 171,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,758.84 : 644,644.20 = 114,214.16 : x
  2. Step 2: Convert to fraction form
    429,758.84/644,644.20 = 114,214.16/x
  3. Step 3: Cross multiply
    429,758.84x = 644,644.20 × 114,214.16
  4. Step 4: Simplify right side
    429,758.84x = 73,627,495,801.87
  5. Step 5: Solve for x
    x = 73,627,495,801.87/429,758.84
  6. Step 6: Final answer
    x = 171,322.82

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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.