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Finding the Fourth Proportional to 1,234,986.92, 1,849,490.54 and 854,842.52

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Solution

The fourth proportional to 1,234,986.92, 1,849,490.54 and 854,842.52 is: 1,280,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234,986.92 : 1,849,490.54 = 854,842.52 : x
  2. Step 2: Convert to fraction form
    1,234,986.92/1,849,490.54 = 854,842.52/x
  3. Step 3: Cross multiply
    1,234,986.92x = 1,849,490.54 × 854,842.52
  4. Step 4: Simplify right side
    1,234,986.92x = 1,581,023,153,929.76
  5. Step 5: Solve for x
    x = 1,581,023,153,929.76/1,234,986.92
  6. Step 6: Final answer
    x = 1,280,194.25

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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.