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Finding the Fourth Proportional to 314,358.24, 433,686.24 and 193,463.04

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Solution

The fourth proportional to 314,358.24, 433,686.24 and 193,463.04 is: 266,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,358.24 : 433,686.24 = 193,463.04 : x
  2. Step 2: Convert to fraction form
    314,358.24/433,686.24 = 193,463.04/x
  3. Step 3: Cross multiply
    314,358.24x = 433,686.24 × 193,463.04
  4. Step 4: Simplify right side
    314,358.24x = 83,902,258,396.57
  5. Step 5: Solve for x
    x = 83,902,258,396.57/314,358.24
  6. Step 6: Final answer
    x = 266,900.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.