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Finding the Fourth Proportional to 702,701.56, 969,728.44 and 380,411.64

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Solution

The fourth proportional to 702,701.56, 969,728.44 and 380,411.64 is: 524,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,701.56 : 969,728.44 = 380,411.64 : x
  2. Step 2: Convert to fraction form
    702,701.56/969,728.44 = 380,411.64/x
  3. Step 3: Cross multiply
    702,701.56x = 969,728.44 × 380,411.64
  4. Step 4: Simplify right side
    702,701.56x = 368,895,986,215.04
  5. Step 5: Solve for x
    x = 368,895,986,215.04/702,701.56
  6. Step 6: Final answer
    x = 524,968.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.