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Finding the Fourth Proportional to 292,281.40, 438,422.10 and 274,566.70

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Solution

The fourth proportional to 292,281.40, 438,422.10 and 274,566.70 is: 411,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,281.40 : 438,422.10 = 274,566.70 : x
  2. Step 2: Convert to fraction form
    292,281.40/438,422.10 = 274,566.70/x
  3. Step 3: Cross multiply
    292,281.40x = 438,422.10 × 274,566.70
  4. Step 4: Simplify right side
    292,281.40x = 120,376,109,204.07
  5. Step 5: Solve for x
    x = 120,376,109,204.07/292,281.40
  6. Step 6: Final answer
    x = 411,850.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.