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Finding the Fourth Proportional to 417,701.56, 576,412.71 and 226,710.86

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Solution

The fourth proportional to 417,701.56, 576,412.71 and 226,710.86 is: 312,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,701.56 : 576,412.71 = 226,710.86 : x
  2. Step 2: Convert to fraction form
    417,701.56/576,412.71 = 226,710.86/x
  3. Step 3: Cross multiply
    417,701.56x = 576,412.71 × 226,710.86
  4. Step 4: Simplify right side
    417,701.56x = 130,679,021,199.03
  5. Step 5: Solve for x
    x = 130,679,021,199.03/417,701.56
  6. Step 6: Final answer
    x = 312,852.61

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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.