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Finding the Fourth Proportional to 283,049.68, 424,420.68 and 140,582.40

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Solution

The fourth proportional to 283,049.68, 424,420.68 and 140,582.40 is: 210,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,049.68 : 424,420.68 = 140,582.40 : x
  2. Step 2: Convert to fraction form
    283,049.68/424,420.68 = 140,582.40/x
  3. Step 3: Cross multiply
    283,049.68x = 424,420.68 × 140,582.40
  4. Step 4: Simplify right side
    283,049.68x = 59,666,077,804.03
  5. Step 5: Solve for x
    x = 59,666,077,804.03/283,049.68
  6. Step 6: Final answer
    x = 210,797.19

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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.