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Finding the Fourth Proportional to 532,634.80, 735,052.10 and 290,930.40

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Solution

The fourth proportional to 532,634.80, 735,052.10 and 290,930.40 is: 401,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,634.80 : 735,052.10 = 290,930.40 : x
  2. Step 2: Convert to fraction form
    532,634.80/735,052.10 = 290,930.40/x
  3. Step 3: Cross multiply
    532,634.80x = 735,052.10 × 290,930.40
  4. Step 4: Simplify right side
    532,634.80x = 213,849,001,473.84
  5. Step 5: Solve for x
    x = 213,849,001,473.84/532,634.80
  6. Step 6: Final answer
    x = 401,492.73

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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.