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Finding the Fourth Proportional to 417,146.32, 575,658.45 and 235,893.84

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Solution

The fourth proportional to 417,146.32, 575,658.45 and 235,893.84 is: 325,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,146.32 : 575,658.45 = 235,893.84 : x
  2. Step 2: Convert to fraction form
    417,146.32/575,658.45 = 235,893.84/x
  3. Step 3: Cross multiply
    417,146.32x = 575,658.45 × 235,893.84
  4. Step 4: Simplify right side
    417,146.32x = 135,794,282,298.95
  5. Step 5: Solve for x
    x = 135,794,282,298.95/417,146.32
  6. Step 6: Final answer
    x = 325,531.54

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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.