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Finding the Fourth Proportional to 509,851.88, 703,600.10 and 283,506.92

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Solution

The fourth proportional to 509,851.88, 703,600.10 and 283,506.92 is: 391,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,851.88 : 703,600.10 = 283,506.92 : x
  2. Step 2: Convert to fraction form
    509,851.88/703,600.10 = 283,506.92/x
  3. Step 3: Cross multiply
    509,851.88x = 703,600.10 × 283,506.92
  4. Step 4: Simplify right side
    509,851.88x = 199,475,497,262.69
  5. Step 5: Solve for x
    x = 199,475,497,262.69/509,851.88
  6. Step 6: Final answer
    x = 391,242.05

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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.