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Finding the Fourth Proportional to 313,264.78, 432,305.71 and 170,024.90

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Solution

The fourth proportional to 313,264.78, 432,305.71 and 170,024.90 is: 234,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,264.78 : 432,305.71 = 170,024.90 : x
  2. Step 2: Convert to fraction form
    313,264.78/432,305.71 = 170,024.90/x
  3. Step 3: Cross multiply
    313,264.78x = 432,305.71 × 170,024.90
  4. Step 4: Simplify right side
    313,264.78x = 73,502,732,525.59
  5. Step 5: Solve for x
    x = 73,502,732,525.59/313,264.78
  6. Step 6: Final answer
    x = 234,634.53

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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.