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Finding the Fourth Proportional to 409,573.40, 565,560.42 and 256,868.60

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Solution

The fourth proportional to 409,573.40, 565,560.42 and 256,868.60 is: 354,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,573.40 : 565,560.42 = 256,868.60 : x
  2. Step 2: Convert to fraction form
    409,573.40/565,560.42 = 256,868.60/x
  3. Step 3: Cross multiply
    409,573.40x = 565,560.42 × 256,868.60
  4. Step 4: Simplify right side
    409,573.40x = 145,274,713,300.81
  5. Step 5: Solve for x
    x = 145,274,713,300.81/409,573.40
  6. Step 6: Final answer
    x = 354,697.63

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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.