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Finding the Fourth Proportional to 1,168,074, 1,752,300.54 and 457,716.96

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Solution

The fourth proportional to 1,168,074, 1,752,300.54 and 457,716.96 is: 686,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168,074 : 1,752,300.54 = 457,716.96 : x
  2. Step 2: Convert to fraction form
    1,168,074/1,752,300.54 = 457,716.96/x
  3. Step 3: Cross multiply
    1,168,074x = 1,752,300.54 × 457,716.96
  4. Step 4: Simplify right side
    1,168,074x = 802,057,676,175.16
  5. Step 5: Solve for x
    x = 802,057,676,175.16/1,168,074
  6. Step 6: Final answer
    x = 686,649.71

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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.