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Finding the Fourth Proportional to 1,287,977.66, 1,929,693.14 and 781,510.14

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Solution

The fourth proportional to 1,287,977.66, 1,929,693.14 and 781,510.14 is: 1,170,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,977.66 : 1,929,693.14 = 781,510.14 : x
  2. Step 2: Convert to fraction form
    1,287,977.66/1,929,693.14 = 781,510.14/x
  3. Step 3: Cross multiply
    1,287,977.66x = 1,929,693.14 × 781,510.14
  4. Step 4: Simplify right side
    1,287,977.66x = 1,508,074,755,021.55
  5. Step 5: Solve for x
    x = 1,508,074,755,021.55/1,287,977.66
  6. Step 6: Final answer
    x = 1,170,885.80

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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.