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Finding the Fourth Proportional to 468,292.70, 702,443.10 and 113,307.06

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Solution

The fourth proportional to 468,292.70, 702,443.10 and 113,307.06 is: 169,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,292.70 : 702,443.10 = 113,307.06 : x
  2. Step 2: Convert to fraction form
    468,292.70/702,443.10 = 113,307.06/x
  3. Step 3: Cross multiply
    468,292.70x = 702,443.10 × 113,307.06
  4. Step 4: Simplify right side
    468,292.70x = 79,591,762,478.29
  5. Step 5: Solve for x
    x = 79,591,762,478.29/468,292.70
  6. Step 6: Final answer
    x = 169,961.57

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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.