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Finding the Fourth Proportional to 476,181, 657,109.10 and 261,324.65

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Solution

The fourth proportional to 476,181, 657,109.10 and 261,324.65 is: 360,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,181 : 657,109.10 = 261,324.65 : x
  2. Step 2: Convert to fraction form
    476,181/657,109.10 = 261,324.65/x
  3. Step 3: Cross multiply
    476,181x = 657,109.10 × 261,324.65
  4. Step 4: Simplify right side
    476,181x = 171,718,805,569.32
  5. Step 5: Solve for x
    x = 171,718,805,569.32/476,181
  6. Step 6: Final answer
    x = 360,616.67

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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.