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Finding the Fourth Proportional to 461,449.44, 692,196.84 and 224,994.24

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Solution

The fourth proportional to 461,449.44, 692,196.84 and 224,994.24 is: 337,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,449.44 : 692,196.84 = 224,994.24 : x
  2. Step 2: Convert to fraction form
    461,449.44/692,196.84 = 224,994.24/x
  3. Step 3: Cross multiply
    461,449.44x = 692,196.84 × 224,994.24
  4. Step 4: Simplify right side
    461,449.44x = 155,740,301,946.20
  5. Step 5: Solve for x
    x = 155,740,301,946.20/461,449.44
  6. Step 6: Final answer
    x = 337,502.42

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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.