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Finding the Fourth Proportional to 532,410.16, 798,348.84 and 177,300.40

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Solution

The fourth proportional to 532,410.16, 798,348.84 and 177,300.40 is: 265,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,410.16 : 798,348.84 = 177,300.40 : x
  2. Step 2: Convert to fraction form
    532,410.16/798,348.84 = 177,300.40/x
  3. Step 3: Cross multiply
    532,410.16x = 798,348.84 × 177,300.40
  4. Step 4: Simplify right side
    532,410.16x = 141,547,568,671.54
  5. Step 5: Solve for x
    x = 141,547,568,671.54/532,410.16
  6. Step 6: Final answer
    x = 265,861.88

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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.