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Finding the Fourth Proportional to 473,459.18, 709,721.27 and 188,978.27

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Solution

The fourth proportional to 473,459.18, 709,721.27 and 188,978.27 is: 283,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,459.18 : 709,721.27 = 188,978.27 : x
  2. Step 2: Convert to fraction form
    473,459.18/709,721.27 = 188,978.27/x
  3. Step 3: Cross multiply
    473,459.18x = 709,721.27 × 188,978.27
  4. Step 4: Simplify right side
    473,459.18x = 134,121,898,616.22
  5. Step 5: Solve for x
    x = 134,121,898,616.22/473,459.18
  6. Step 6: Final answer
    x = 283,280.81

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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.