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Finding the Fourth Proportional to 474,900.30, 711,219.65 and 274,798.98

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Solution

The fourth proportional to 474,900.30, 711,219.65 and 274,798.98 is: 411,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,900.30 : 711,219.65 = 274,798.98 : x
  2. Step 2: Convert to fraction form
    474,900.30/711,219.65 = 274,798.98/x
  3. Step 3: Cross multiply
    474,900.30x = 711,219.65 × 274,798.98
  4. Step 4: Simplify right side
    474,900.30x = 195,442,433,001.96
  5. Step 5: Solve for x
    x = 195,442,433,001.96/474,900.30
  6. Step 6: Final answer
    x = 411,544.13

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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.