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Finding the Fourth Proportional to 413,089.05, 570,061.36 and 231,800.57

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Solution

The fourth proportional to 413,089.05, 570,061.36 and 231,800.57 is: 319,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,089.05 : 570,061.36 = 231,800.57 : x
  2. Step 2: Convert to fraction form
    413,089.05/570,061.36 = 231,800.57/x
  3. Step 3: Cross multiply
    413,089.05x = 570,061.36 × 231,800.57
  4. Step 4: Simplify right side
    413,089.05x = 132,140,548,182.98
  5. Step 5: Solve for x
    x = 132,140,548,182.98/413,089.05
  6. Step 6: Final answer
    x = 319,883.93

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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.