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Finding the Fourth Proportional to 1,299,669.06, 1,949,509.06 and 853,214.88

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Solution

The fourth proportional to 1,299,669.06, 1,949,509.06 and 853,214.88 is: 1,279,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,669.06 : 1,949,509.06 = 853,214.88 : x
  2. Step 2: Convert to fraction form
    1,299,669.06/1,949,509.06 = 853,214.88/x
  3. Step 3: Cross multiply
    1,299,669.06x = 1,949,509.06 × 853,214.88
  4. Step 4: Simplify right side
    1,299,669.06x = 1,663,350,138,686.81
  5. Step 5: Solve for x
    x = 1,663,350,138,686.81/1,299,669.06
  6. Step 6: Final answer
    x = 1,279,825.91

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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.