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Finding the Fourth Proportional to 460,119.84, 634,953.02 and 256,170.90

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Solution

The fourth proportional to 460,119.84, 634,953.02 and 256,170.90 is: 353,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,119.84 : 634,953.02 = 256,170.90 : x
  2. Step 2: Convert to fraction form
    460,119.84/634,953.02 = 256,170.90/x
  3. Step 3: Cross multiply
    460,119.84x = 634,953.02 × 256,170.90
  4. Step 4: Simplify right side
    460,119.84x = 162,656,486,591.12
  5. Step 5: Solve for x
    x = 162,656,486,591.12/460,119.84
  6. Step 6: Final answer
    x = 353,508.96

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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.