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Finding the Fourth Proportional to 510,113.76, 703,953.68 and 280,685.04

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Solution

The fourth proportional to 510,113.76, 703,953.68 and 280,685.04 is: 387,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,113.76 : 703,953.68 = 280,685.04 : x
  2. Step 2: Convert to fraction form
    510,113.76/703,953.68 = 280,685.04/x
  3. Step 3: Cross multiply
    510,113.76x = 703,953.68 × 280,685.04
  4. Step 4: Simplify right side
    510,113.76x = 197,589,266,828.95
  5. Step 5: Solve for x
    x = 197,589,266,828.95/510,113.76
  6. Step 6: Final answer
    x = 387,343.53

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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.