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Finding the Fourth Proportional to 1,340,527.84, 1,849,945.71 and 728,689.48

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Solution

The fourth proportional to 1,340,527.84, 1,849,945.71 and 728,689.48 is: 1,005,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,527.84 : 1,849,945.71 = 728,689.48 : x
  2. Step 2: Convert to fraction form
    1,340,527.84/1,849,945.71 = 728,689.48/x
  3. Step 3: Cross multiply
    1,340,527.84x = 1,849,945.71 × 728,689.48
  4. Step 4: Simplify right side
    1,340,527.84x = 1,348,035,977,448.13
  5. Step 5: Solve for x
    x = 1,348,035,977,448.13/1,340,527.84
  6. Step 6: Final answer
    x = 1,005,600.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.