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Finding the Fourth Proportional to 413,158.17, 570,169.58 and 231,881.32

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Solution

The fourth proportional to 413,158.17, 570,169.58 and 231,881.32 is: 320,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,158.17 : 570,169.58 = 231,881.32 : x
  2. Step 2: Convert to fraction form
    413,158.17/570,169.58 = 231,881.32/x
  3. Step 3: Cross multiply
    413,158.17x = 570,169.58 × 231,881.32
  4. Step 4: Simplify right side
    413,158.17x = 132,211,674,834.25
  5. Step 5: Solve for x
    x = 132,211,674,834.25/413,158.17
  6. Step 6: Final answer
    x = 320,002.57

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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.