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Finding the Fourth Proportional to 458,663.16, 687,475.64 and 233,548.04

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Solution

The fourth proportional to 458,663.16, 687,475.64 and 233,548.04 is: 350,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,663.16 : 687,475.64 = 233,548.04 : x
  2. Step 2: Convert to fraction form
    458,663.16/687,475.64 = 233,548.04/x
  3. Step 3: Cross multiply
    458,663.16x = 687,475.64 × 233,548.04
  4. Step 4: Simplify right side
    458,663.16x = 160,558,588,269.75
  5. Step 5: Solve for x
    x = 160,558,588,269.75/458,663.16
  6. Step 6: Final answer
    x = 350,057.74

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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.