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Finding the Fourth Proportional to 297,530.40, 410,752.08 and 229,397.88

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Solution

The fourth proportional to 297,530.40, 410,752.08 and 229,397.88 is: 316,692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,530.40 : 410,752.08 = 229,397.88 : x
  2. Step 2: Convert to fraction form
    297,530.40/410,752.08 = 229,397.88/x
  3. Step 3: Cross multiply
    297,530.40x = 410,752.08 × 229,397.88
  4. Step 4: Simplify right side
    297,530.40x = 94,225,656,357.59
  5. Step 5: Solve for x
    x = 94,225,656,357.59/297,530.40
  6. Step 6: Final answer
    x = 316,692.53

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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.