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Finding the Fourth Proportional to 314,232.54, 434,078.27 and 302,566.76

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Solution

The fourth proportional to 314,232.54, 434,078.27 and 302,566.76 is: 417,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,232.54 : 434,078.27 = 302,566.76 : x
  2. Step 2: Convert to fraction form
    314,232.54/434,078.27 = 302,566.76/x
  3. Step 3: Cross multiply
    314,232.54x = 434,078.27 × 302,566.76
  4. Step 4: Simplify right side
    314,232.54x = 131,337,652,057.08
  5. Step 5: Solve for x
    x = 131,337,652,057.08/314,232.54
  6. Step 6: Final answer
    x = 417,963.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.