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Finding the Fourth Proportional to 474,088.91, 711,134.10 and 193,606.16

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Solution

The fourth proportional to 474,088.91, 711,134.10 and 193,606.16 is: 290,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,088.91 : 711,134.10 = 193,606.16 : x
  2. Step 2: Convert to fraction form
    474,088.91/711,134.10 = 193,606.16/x
  3. Step 3: Cross multiply
    474,088.91x = 711,134.10 × 193,606.16
  4. Step 4: Simplify right side
    474,088.91x = 137,679,938,790.39
  5. Step 5: Solve for x
    x = 137,679,938,790.39/474,088.91
  6. Step 6: Final answer
    x = 290,409.54

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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.