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Finding the Fourth Proportional to 413,061.84, 570,025.62 and 231,748.74

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Solution

The fourth proportional to 413,061.84, 570,025.62 and 231,748.74 is: 319,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,061.84 : 570,025.62 = 231,748.74 : x
  2. Step 2: Convert to fraction form
    413,061.84/570,025.62 = 231,748.74/x
  3. Step 3: Cross multiply
    413,061.84x = 570,025.62 × 231,748.74
  4. Step 4: Simplify right side
    413,061.84x = 132,102,719,202.72
  5. Step 5: Solve for x
    x = 132,102,719,202.72/413,061.84
  6. Step 6: Final answer
    x = 319,813.42

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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.