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Finding the Fourth Proportional to 429,568.61, 644,106 and 177,023.45

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Solution

The fourth proportional to 429,568.61, 644,106 and 177,023.45 is: 265,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,568.61 : 644,106 = 177,023.45 : x
  2. Step 2: Convert to fraction form
    429,568.61/644,106 = 177,023.45/x
  3. Step 3: Cross multiply
    429,568.61x = 644,106 × 177,023.45
  4. Step 4: Simplify right side
    429,568.61x = 114,021,866,285.70
  5. Step 5: Solve for x
    x = 114,021,866,285.70/429,568.61
  6. Step 6: Final answer
    x = 265,433.42

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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.