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Finding the Fourth Proportional to 1,689,659, 2,534,491.76 and 410,261.08

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Solution

The fourth proportional to 1,689,659, 2,534,491.76 and 410,261.08 is: 615,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,659 : 2,534,491.76 = 410,261.08 : x
  2. Step 2: Convert to fraction form
    1,689,659/2,534,491.76 = 410,261.08/x
  3. Step 3: Cross multiply
    1,689,659x = 2,534,491.76 × 410,261.08
  4. Step 4: Simplify right side
    1,689,659x = 1,039,803,326,708.70
  5. Step 5: Solve for x
    x = 1,039,803,326,708.70/1,689,659
  6. Step 6: Final answer
    x = 615,392.41

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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.