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Finding the Fourth Proportional to 510,701.76, 766,104.48 and 195,423.84

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Solution

The fourth proportional to 510,701.76, 766,104.48 and 195,423.84 is: 293,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,701.76 : 766,104.48 = 195,423.84 : x
  2. Step 2: Convert to fraction form
    510,701.76/766,104.48 = 195,423.84/x
  3. Step 3: Cross multiply
    510,701.76x = 766,104.48 × 195,423.84
  4. Step 4: Simplify right side
    510,701.76x = 149,715,079,322.80
  5. Step 5: Solve for x
    x = 149,715,079,322.80/510,701.76
  6. Step 6: Final answer
    x = 293,155.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.