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Finding the Fourth Proportional to 497,171.39, 686,101.14 and 282,315.92

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Solution

The fourth proportional to 497,171.39, 686,101.14 and 282,315.92 is: 389,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,171.39 : 686,101.14 = 282,315.92 : x
  2. Step 2: Convert to fraction form
    497,171.39/686,101.14 = 282,315.92/x
  3. Step 3: Cross multiply
    497,171.39x = 686,101.14 × 282,315.92
  4. Step 4: Simplify right side
    497,171.39x = 193,697,271,121.64
  5. Step 5: Solve for x
    x = 193,697,271,121.64/497,171.39
  6. Step 6: Final answer
    x = 389,598.59

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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.