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Finding the Fourth Proportional to 409,635.56, 565,065.55 and 256,407.76

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Solution

The fourth proportional to 409,635.56, 565,065.55 and 256,407.76 is: 353,697.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,635.56 : 565,065.55 = 256,407.76 : x
  2. Step 2: Convert to fraction form
    409,635.56/565,065.55 = 256,407.76/x
  3. Step 3: Cross multiply
    409,635.56x = 565,065.55 × 256,407.76
  4. Step 4: Simplify right side
    409,635.56x = 144,887,192,955.51
  5. Step 5: Solve for x
    x = 144,887,192,955.51/409,635.56
  6. Step 6: Final answer
    x = 353,697.79

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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.