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Finding the Fourth Proportional to 413,396.16, 619,971 and 160,715.88

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Solution

The fourth proportional to 413,396.16, 619,971 and 160,715.88 is: 241,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,396.16 : 619,971 = 160,715.88 : x
  2. Step 2: Convert to fraction form
    413,396.16/619,971 = 160,715.88/x
  3. Step 3: Cross multiply
    413,396.16x = 619,971 × 160,715.88
  4. Step 4: Simplify right side
    413,396.16x = 99,639,184,839.48
  5. Step 5: Solve for x
    x = 99,639,184,839.48/413,396.16
  6. Step 6: Final answer
    x = 241,025.91

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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.