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Finding the Fourth Proportional to 805,400, 1,205,471.28 and 592,111.40

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Solution

The fourth proportional to 805,400, 1,205,471.28 and 592,111.40 is: 886,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,400 : 1,205,471.28 = 592,111.40 : x
  2. Step 2: Convert to fraction form
    805,400/1,205,471.28 = 592,111.40/x
  3. Step 3: Cross multiply
    805,400x = 1,205,471.28 × 592,111.40
  4. Step 4: Simplify right side
    805,400x = 713,773,287,260.59
  5. Step 5: Solve for x
    x = 713,773,287,260.59/805,400
  6. Step 6: Final answer
    x = 886,234.53

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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.