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Finding the Fourth Proportional to 340,833.74, 470,353.85 and 187,877.84

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Solution

The fourth proportional to 340,833.74, 470,353.85 and 187,877.84 is: 259,273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,833.74 : 470,353.85 = 187,877.84 : x
  2. Step 2: Convert to fraction form
    340,833.74/470,353.85 = 187,877.84/x
  3. Step 3: Cross multiply
    340,833.74x = 470,353.85 × 187,877.84
  4. Step 4: Simplify right side
    340,833.74x = 88,369,062,082.53
  5. Step 5: Solve for x
    x = 88,369,062,082.53/340,833.74
  6. Step 6: Final answer
    x = 259,273.23

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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.