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Finding the Fourth Proportional to 398,798.40, 597,685.68 and 174,097.92

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Solution

The fourth proportional to 398,798.40, 597,685.68 and 174,097.92 is: 260,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,798.40 : 597,685.68 = 174,097.92 : x
  2. Step 2: Convert to fraction form
    398,798.40/597,685.68 = 174,097.92/x
  3. Step 3: Cross multiply
    398,798.40x = 597,685.68 × 174,097.92
  4. Step 4: Simplify right side
    398,798.40x = 104,055,833,701.79
  5. Step 5: Solve for x
    x = 104,055,833,701.79/398,798.40
  6. Step 6: Final answer
    x = 260,923.40

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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.