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Finding the Fourth Proportional to 598,097.72, 896,993.49 and 177,275.18

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Solution

The fourth proportional to 598,097.72, 896,993.49 and 177,275.18 is: 265,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,097.72 : 896,993.49 = 177,275.18 : x
  2. Step 2: Convert to fraction form
    598,097.72/896,993.49 = 177,275.18/x
  3. Step 3: Cross multiply
    598,097.72x = 896,993.49 × 177,275.18
  4. Step 4: Simplify right side
    598,097.72x = 159,014,685,305.84
  5. Step 5: Solve for x
    x = 159,014,685,305.84/598,097.72
  6. Step 6: Final answer
    x = 265,867.40

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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.