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Finding the Fourth Proportional to 398,534.28, 597,386.20 and 173,834.40

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Solution

The fourth proportional to 398,534.28, 597,386.20 and 173,834.40 is: 260,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,534.28 : 597,386.20 = 173,834.40 : x
  2. Step 2: Convert to fraction form
    398,534.28/597,386.20 = 173,834.40/x
  3. Step 3: Cross multiply
    398,534.28x = 597,386.20 × 173,834.40
  4. Step 4: Simplify right side
    398,534.28x = 103,846,271,645.28
  5. Step 5: Solve for x
    x = 103,846,271,645.28/398,534.28
  6. Step 6: Final answer
    x = 260,570.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.