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Finding the Fourth Proportional to 2,077,314.40, 2,912,439.20 and 2,077,314.40

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Solution

The fourth proportional to 2,077,314.40, 2,912,439.20 and 2,077,314.40 is: 2,912,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,314.40 : 2,912,439.20 = 2,077,314.40 : x
  2. Step 2: Convert to fraction form
    2,077,314.40/2,912,439.20 = 2,077,314.40/x
  3. Step 3: Cross multiply
    2,077,314.40x = 2,912,439.20 × 2,077,314.40
  4. Step 4: Simplify right side
    2,077,314.40x = 6,050,051,889,284.48
  5. Step 5: Solve for x
    x = 6,050,051,889,284.48/2,077,314.40
  6. Step 6: Final answer
    x = 2,912,439.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.