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Finding the Fourth Proportional to 468,514.64, 702,903.18 and 188,228.72

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Solution

The fourth proportional to 468,514.64, 702,903.18 and 188,228.72 is: 282,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,514.64 : 702,903.18 = 188,228.72 : x
  2. Step 2: Convert to fraction form
    468,514.64/702,903.18 = 188,228.72/x
  3. Step 3: Cross multiply
    468,514.64x = 702,903.18 × 188,228.72
  4. Step 4: Simplify right side
    468,514.64x = 132,306,565,855.33
  5. Step 5: Solve for x
    x = 132,306,565,855.33/468,514.64
  6. Step 6: Final answer
    x = 282,395.80

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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.