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Finding the Fourth Proportional to 413,684.28, 570,886.38 and 232,403.88

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Solution

The fourth proportional to 413,684.28, 570,886.38 and 232,403.88 is: 320,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,684.28 : 570,886.38 = 232,403.88 : x
  2. Step 2: Convert to fraction form
    413,684.28/570,886.38 = 232,403.88/x
  3. Step 3: Cross multiply
    413,684.28x = 570,886.38 × 232,403.88
  4. Step 4: Simplify right side
    413,684.28x = 132,676,209,751.15
  5. Step 5: Solve for x
    x = 132,676,209,751.15/413,684.28
  6. Step 6: Final answer
    x = 320,718.52

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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.