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Finding the Fourth Proportional to 283,223.40, 424,835.10 and 157,252.20

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Solution

The fourth proportional to 283,223.40, 424,835.10 and 157,252.20 is: 235,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,223.40 : 424,835.10 = 157,252.20 : x
  2. Step 2: Convert to fraction form
    283,223.40/424,835.10 = 157,252.20/x
  3. Step 3: Cross multiply
    283,223.40x = 424,835.10 × 157,252.20
  4. Step 4: Simplify right side
    283,223.40x = 66,806,254,112.22
  5. Step 5: Solve for x
    x = 66,806,254,112.22/283,223.40
  6. Step 6: Final answer
    x = 235,878.30

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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.