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Finding the Fourth Proportional to 464,108.13, 640,411.92 and 282,754.26

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Solution

The fourth proportional to 464,108.13, 640,411.92 and 282,754.26 is: 390,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,108.13 : 640,411.92 = 282,754.26 : x
  2. Step 2: Convert to fraction form
    464,108.13/640,411.92 = 282,754.26/x
  3. Step 3: Cross multiply
    464,108.13x = 640,411.92 × 282,754.26
  4. Step 4: Simplify right side
    464,108.13x = 181,079,198,534.78
  5. Step 5: Solve for x
    x = 181,079,198,534.78/464,108.13
  6. Step 6: Final answer
    x = 390,165.97

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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.