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Finding the Fourth Proportional to 709,675.20, 1,064,512.80 and 457,732.80

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Solution

The fourth proportional to 709,675.20, 1,064,512.80 and 457,732.80 is: 686,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,675.20 : 1,064,512.80 = 457,732.80 : x
  2. Step 2: Convert to fraction form
    709,675.20/1,064,512.80 = 457,732.80/x
  3. Step 3: Cross multiply
    709,675.20x = 1,064,512.80 × 457,732.80
  4. Step 4: Simplify right side
    709,675.20x = 487,262,424,579.84
  5. Step 5: Solve for x
    x = 487,262,424,579.84/709,675.20
  6. Step 6: Final answer
    x = 686,599.20

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1.5x scale

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.