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Finding the Fourth Proportional to 283,395.94, 424,627.34 and 198,015.46

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Solution

The fourth proportional to 283,395.94, 424,627.34 and 198,015.46 is: 296,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,395.94 : 424,627.34 = 198,015.46 : x
  2. Step 2: Convert to fraction form
    283,395.94/424,627.34 = 198,015.46/x
  3. Step 3: Cross multiply
    283,395.94x = 424,627.34 × 198,015.46
  4. Step 4: Simplify right side
    283,395.94x = 84,082,779,862.80
  5. Step 5: Solve for x
    x = 84,082,779,862.80/283,395.94
  6. Step 6: Final answer
    x = 296,697.19

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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.