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Finding the Fourth Proportional to 1,023,966.69, 1,535,972.18 and 313,979.01

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Solution

The fourth proportional to 1,023,966.69, 1,535,972.18 and 313,979.01 is: 470,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,966.69 : 1,535,972.18 = 313,979.01 : x
  2. Step 2: Convert to fraction form
    1,023,966.69/1,535,972.18 = 313,979.01/x
  3. Step 3: Cross multiply
    1,023,966.69x = 1,535,972.18 × 313,979.01
  4. Step 4: Simplify right side
    1,023,966.69x = 482,263,022,894.05
  5. Step 5: Solve for x
    x = 482,263,022,894.05/1,023,966.69
  6. Step 6: Final answer
    x = 470,975.30

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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.