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Finding the Fourth Proportional to 477,716.41, 716,459.18 and 140,665.33

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Solution

The fourth proportional to 477,716.41, 716,459.18 and 140,665.33 is: 210,964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,716.41 : 716,459.18 = 140,665.33 : x
  2. Step 2: Convert to fraction form
    477,716.41/716,459.18 = 140,665.33/x
  3. Step 3: Cross multiply
    477,716.41x = 716,459.18 × 140,665.33
  4. Step 4: Simplify right side
    477,716.41x = 100,780,966,282.90
  5. Step 5: Solve for x
    x = 100,780,966,282.90/477,716.41
  6. Step 6: Final answer
    x = 210,964.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.