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Finding the Fourth Proportional to 590,636.20, 886,829.10 and 457,666.60

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Solution

The fourth proportional to 590,636.20, 886,829.10 and 457,666.60 is: 687,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,636.20 : 886,829.10 = 457,666.60 : x
  2. Step 2: Convert to fraction form
    590,636.20/886,829.10 = 457,666.60/x
  3. Step 3: Cross multiply
    590,636.20x = 886,829.10 × 457,666.60
  4. Step 4: Simplify right side
    590,636.20x = 405,872,058,978.06
  5. Step 5: Solve for x
    x = 405,872,058,978.06/590,636.20
  6. Step 6: Final answer
    x = 687,177.76

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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.