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Finding the Fourth Proportional to 767,165.20, 1,151,266.20 and 430,205.20

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Solution

The fourth proportional to 767,165.20, 1,151,266.20 and 430,205.20 is: 645,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,165.20 : 1,151,266.20 = 430,205.20 : x
  2. Step 2: Convert to fraction form
    767,165.20/1,151,266.20 = 430,205.20/x
  3. Step 3: Cross multiply
    767,165.20x = 1,151,266.20 × 430,205.20
  4. Step 4: Simplify right side
    767,165.20x = 495,280,705,824.24
  5. Step 5: Solve for x
    x = 495,280,705,824.24/767,165.20
  6. Step 6: Final answer
    x = 645,598.50

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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.