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Finding the Fourth Proportional to 314,403.54, 471,290.13 and 146,042.16

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Solution

The fourth proportional to 314,403.54, 471,290.13 and 146,042.16 is: 218,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,403.54 : 471,290.13 = 146,042.16 : x
  2. Step 2: Convert to fraction form
    314,403.54/471,290.13 = 146,042.16/x
  3. Step 3: Cross multiply
    314,403.54x = 471,290.13 × 146,042.16
  4. Step 4: Simplify right side
    314,403.54x = 68,828,228,571.88
  5. Step 5: Solve for x
    x = 68,828,228,571.88/314,403.54
  6. Step 6: Final answer
    x = 218,916.84

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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.