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Finding the Fourth Proportional to 773,580, 1,160,368.95 and 293,806.88

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Solution

The fourth proportional to 773,580, 1,160,368.95 and 293,806.88 is: 440,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,580 : 1,160,368.95 = 293,806.88 : x
  2. Step 2: Convert to fraction form
    773,580/1,160,368.95 = 293,806.88/x
  3. Step 3: Cross multiply
    773,580x = 1,160,368.95 × 293,806.88
  4. Step 4: Simplify right side
    773,580x = 340,924,375,046.53
  5. Step 5: Solve for x
    x = 340,924,375,046.53/773,580
  6. Step 6: Final answer
    x = 440,709.91

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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.