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Finding the Fourth Proportional to 413,308.64, 570,365.70 and 232,020.92

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Solution

The fourth proportional to 413,308.64, 570,365.70 and 232,020.92 is: 320,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,308.64 : 570,365.70 = 232,020.92 : x
  2. Step 2: Convert to fraction form
    413,308.64/570,365.70 = 232,020.92/x
  3. Step 3: Cross multiply
    413,308.64x = 570,365.70 × 232,020.92
  4. Step 4: Simplify right side
    413,308.64x = 132,336,774,450.44
  5. Step 5: Solve for x
    x = 132,336,774,450.44/413,308.64
  6. Step 6: Final answer
    x = 320,188.74

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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.