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Finding the Fourth Proportional to 464,002.43, 696,003.10 and 127,045.67

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Solution

The fourth proportional to 464,002.43, 696,003.10 and 127,045.67 is: 190,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,002.43 : 696,003.10 = 127,045.67 : x
  2. Step 2: Convert to fraction form
    464,002.43/696,003.10 = 127,045.67/x
  3. Step 3: Cross multiply
    464,002.43x = 696,003.10 × 127,045.67
  4. Step 4: Simplify right side
    464,002.43x = 88,424,176,363.95
  5. Step 5: Solve for x
    x = 88,424,176,363.95/464,002.43
  6. Step 6: Final answer
    x = 190,568.35

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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.