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Finding the Fourth Proportional to 328,082, 452,623.56 and 207,178.16

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Solution

The fourth proportional to 328,082, 452,623.56 and 207,178.16 is: 285,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,082 : 452,623.56 = 207,178.16 : x
  2. Step 2: Convert to fraction form
    328,082/452,623.56 = 207,178.16/x
  3. Step 3: Cross multiply
    328,082x = 452,623.56 × 207,178.16
  4. Step 4: Simplify right side
    328,082x = 93,773,716,333.45
  5. Step 5: Solve for x
    x = 93,773,716,333.45/328,082
  6. Step 6: Final answer
    x = 285,824.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.