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Finding the Fourth Proportional to 631,874.16, 947,870.64 and 232,522.56

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Solution

The fourth proportional to 631,874.16, 947,870.64 and 232,522.56 is: 348,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,874.16 : 947,870.64 = 232,522.56 : x
  2. Step 2: Convert to fraction form
    631,874.16/947,870.64 = 232,522.56/x
  3. Step 3: Cross multiply
    631,874.16x = 947,870.64 × 232,522.56
  4. Step 4: Simplify right side
    631,874.16x = 220,401,307,761.64
  5. Step 5: Solve for x
    x = 220,401,307,761.64/631,874.16
  6. Step 6: Final answer
    x = 348,805.70

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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.