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Finding the Fourth Proportional to 429,578.96, 644,385.54 and 114,038.60

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Solution

The fourth proportional to 429,578.96, 644,385.54 and 114,038.60 is: 171,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,578.96 : 644,385.54 = 114,038.60 : x
  2. Step 2: Convert to fraction form
    429,578.96/644,385.54 = 114,038.60/x
  3. Step 3: Cross multiply
    429,578.96x = 644,385.54 × 114,038.60
  4. Step 4: Simplify right side
    429,578.96x = 73,484,824,841.84
  5. Step 5: Solve for x
    x = 73,484,824,841.84/429,578.96
  6. Step 6: Final answer
    x = 171,062.44

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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.