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Finding the Fourth Proportional to 477,767.37, 716,724.81 and 174,187.11

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Solution

The fourth proportional to 477,767.37, 716,724.81 and 174,187.11 is: 261,307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,767.37 : 716,724.81 = 174,187.11 : x
  2. Step 2: Convert to fraction form
    477,767.37/716,724.81 = 174,187.11/x
  3. Step 3: Cross multiply
    477,767.37x = 716,724.81 × 174,187.11
  4. Step 4: Simplify right side
    477,767.37x = 124,844,223,319.20
  5. Step 5: Solve for x
    x = 124,844,223,319.20/477,767.37
  6. Step 6: Final answer
    x = 261,307.56

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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.