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Finding the Fourth Proportional to 1,314,913.78, 1,972,426.95 and 516,368.11

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Solution

The fourth proportional to 1,314,913.78, 1,972,426.95 and 516,368.11 is: 774,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,913.78 : 1,972,426.95 = 516,368.11 : x
  2. Step 2: Convert to fraction form
    1,314,913.78/1,972,426.95 = 516,368.11/x
  3. Step 3: Cross multiply
    1,314,913.78x = 1,972,426.95 × 516,368.11
  4. Step 4: Simplify right side
    1,314,913.78x = 1,018,498,376,284.56
  5. Step 5: Solve for x
    x = 1,018,498,376,284.56/1,314,913.78
  6. Step 6: Final answer
    x = 774,574.27

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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.