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Finding the Fourth Proportional to 354,643.20, 531,871.20 and 177,019.20

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Solution

The fourth proportional to 354,643.20, 531,871.20 and 177,019.20 is: 265,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,643.20 : 531,871.20 = 177,019.20 : x
  2. Step 2: Convert to fraction form
    354,643.20/531,871.20 = 177,019.20/x
  3. Step 3: Cross multiply
    354,643.20x = 531,871.20 × 177,019.20
  4. Step 4: Simplify right side
    354,643.20x = 94,151,414,327.04
  5. Step 5: Solve for x
    x = 94,151,414,327.04/354,643.20
  6. Step 6: Final answer
    x = 265,482.08

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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.