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Finding the Fourth Proportional to 306,678.23, 460,214.17 and 148,820.57

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Solution

The fourth proportional to 306,678.23, 460,214.17 and 148,820.57 is: 223,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,678.23 : 460,214.17 = 148,820.57 : x
  2. Step 2: Convert to fraction form
    306,678.23/460,214.17 = 148,820.57/x
  3. Step 3: Cross multiply
    306,678.23x = 460,214.17 × 148,820.57
  4. Step 4: Simplify right side
    306,678.23x = 68,489,333,069.08
  5. Step 5: Solve for x
    x = 68,489,333,069.08/306,678.23
  6. Step 6: Final answer
    x = 223,326.36

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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.