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Finding the Fourth Proportional to 460,566, 635,581.08 and 269,570.16

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Solution

The fourth proportional to 460,566, 635,581.08 and 269,570.16 is: 372,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,566 : 635,581.08 = 269,570.16 : x
  2. Step 2: Convert to fraction form
    460,566/635,581.08 = 269,570.16/x
  3. Step 3: Cross multiply
    460,566x = 635,581.08 × 269,570.16
  4. Step 4: Simplify right side
    460,566x = 171,333,693,428.57
  5. Step 5: Solve for x
    x = 171,333,693,428.57/460,566
  6. Step 6: Final answer
    x = 372,006.82

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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.