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Finding the Fourth Proportional to 347,967.78, 480,172.80 and 204,700.14

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Solution

The fourth proportional to 347,967.78, 480,172.80 and 204,700.14 is: 282,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,967.78 : 480,172.80 = 204,700.14 : x
  2. Step 2: Convert to fraction form
    347,967.78/480,172.80 = 204,700.14/x
  3. Step 3: Cross multiply
    347,967.78x = 480,172.80 × 204,700.14
  4. Step 4: Simplify right side
    347,967.78x = 98,291,439,384.19
  5. Step 5: Solve for x
    x = 98,291,439,384.19/347,967.78
  6. Step 6: Final answer
    x = 282,472.82

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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.