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Finding the Fourth Proportional to 1,314,449.40, 1,972,548.90 and 745,829.40

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Solution

The fourth proportional to 1,314,449.40, 1,972,548.90 and 745,829.40 is: 1,119,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,449.40 : 1,972,548.90 = 745,829.40 : x
  2. Step 2: Convert to fraction form
    1,314,449.40/1,972,548.90 = 745,829.40/x
  3. Step 3: Cross multiply
    1,314,449.40x = 1,972,548.90 × 745,829.40
  4. Step 4: Simplify right side
    1,314,449.40x = 1,471,184,962,557.66
  5. Step 5: Solve for x
    x = 1,471,184,962,557.66/1,314,449.40
  6. Step 6: Final answer
    x = 1,119,240.47

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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.