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Finding the Fourth Proportional to 597,870.90, 897,324.42 and 313,762.20

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Solution

The fourth proportional to 597,870.90, 897,324.42 and 313,762.20 is: 470,915.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,870.90 : 897,324.42 = 313,762.20 : x
  2. Step 2: Convert to fraction form
    597,870.90/897,324.42 = 313,762.20/x
  3. Step 3: Cross multiply
    597,870.90x = 897,324.42 × 313,762.20
  4. Step 4: Simplify right side
    597,870.90x = 281,546,484,132.92
  5. Step 5: Solve for x
    x = 281,546,484,132.92/597,870.90
  6. Step 6: Final answer
    x = 470,915.18

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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.