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Finding the Fourth Proportional to 702,574.40, 969,314.70 and 457,447.22

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Solution

The fourth proportional to 702,574.40, 969,314.70 and 457,447.22 is: 631,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,574.40 : 969,314.70 = 457,447.22 : x
  2. Step 2: Convert to fraction form
    702,574.40/969,314.70 = 457,447.22/x
  3. Step 3: Cross multiply
    702,574.40x = 969,314.70 × 457,447.22
  4. Step 4: Simplify right side
    702,574.40x = 443,410,314,820.13
  5. Step 5: Solve for x
    x = 443,410,314,820.13/702,574.40
  6. Step 6: Final answer
    x = 631,122.22

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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.