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Finding the Fourth Proportional to 376,541.76, 564,812.86 and 236,398.80

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Solution

The fourth proportional to 376,541.76, 564,812.86 and 236,398.80 is: 354,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,541.76 : 564,812.86 = 236,398.80 : x
  2. Step 2: Convert to fraction form
    376,541.76/564,812.86 = 236,398.80/x
  3. Step 3: Cross multiply
    376,541.76x = 564,812.86 × 236,398.80
  4. Step 4: Simplify right side
    376,541.76x = 133,521,082,328.57
  5. Step 5: Solve for x
    x = 133,521,082,328.57/376,541.76
  6. Step 6: Final answer
    x = 354,598.34

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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.