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Finding the Fourth Proportional to 410,038.24, 565,852.24 and 231,190.24

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Solution

The fourth proportional to 410,038.24, 565,852.24 and 231,190.24 is: 319,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,038.24 : 565,852.24 = 231,190.24 : x
  2. Step 2: Convert to fraction form
    410,038.24/565,852.24 = 231,190.24/x
  3. Step 3: Cross multiply
    410,038.24x = 565,852.24 × 231,190.24
  4. Step 4: Simplify right side
    410,038.24x = 130,819,515,170.14
  5. Step 5: Solve for x
    x = 130,819,515,170.14/410,038.24
  6. Step 6: Final answer
    x = 319,042.23

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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.