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Finding the Fourth Proportional to 313,888.74, 470,762.17 and 89,244.24

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Solution

The fourth proportional to 313,888.74, 470,762.17 and 89,244.24 is: 133,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,888.74 : 470,762.17 = 89,244.24 : x
  2. Step 2: Convert to fraction form
    313,888.74/470,762.17 = 89,244.24/x
  3. Step 3: Cross multiply
    313,888.74x = 470,762.17 × 89,244.24
  4. Step 4: Simplify right side
    313,888.74x = 42,012,812,082.40
  5. Step 5: Solve for x
    x = 42,012,812,082.40/313,888.74
  6. Step 6: Final answer
    x = 133,846.19

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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.