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Finding the Fourth Proportional to 681,651.65, 940,681.15 and 409,875.19

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Solution

The fourth proportional to 681,651.65, 940,681.15 and 409,875.19 is: 565,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,651.65 : 940,681.15 = 409,875.19 : x
  2. Step 2: Convert to fraction form
    681,651.65/940,681.15 = 409,875.19/x
  3. Step 3: Cross multiply
    681,651.65x = 940,681.15 × 409,875.19
  4. Step 4: Simplify right side
    681,651.65x = 385,561,861,709.28
  5. Step 5: Solve for x
    x = 385,561,861,709.28/681,651.65
  6. Step 6: Final answer
    x = 565,628.88

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Double scale
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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.