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Finding the Fourth Proportional to 313,165.50, 469,746.98 and 113,439.14

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Solution

The fourth proportional to 313,165.50, 469,746.98 and 113,439.14 is: 170,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,165.50 : 469,746.98 = 113,439.14 : x
  2. Step 2: Convert to fraction form
    313,165.50/469,746.98 = 113,439.14/x
  3. Step 3: Cross multiply
    313,165.50x = 469,746.98 × 113,439.14
  4. Step 4: Simplify right side
    313,165.50x = 53,287,693,428.80
  5. Step 5: Solve for x
    x = 53,287,693,428.80/313,165.50
  6. Step 6: Final answer
    x = 170,158.25

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1.5x scale

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.