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Finding the Fourth Proportional to 314,528.96, 434,058.24 and 171,295.04

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Solution

The fourth proportional to 314,528.96, 434,058.24 and 171,295.04 is: 236,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,528.96 : 434,058.24 = 171,295.04 : x
  2. Step 2: Convert to fraction form
    314,528.96/434,058.24 = 171,295.04/x
  3. Step 3: Cross multiply
    314,528.96x = 434,058.24 × 171,295.04
  4. Step 4: Simplify right side
    314,528.96x = 74,352,023,583.13
  5. Step 5: Solve for x
    x = 74,352,023,583.13/314,528.96
  6. Step 6: Final answer
    x = 236,391.66

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1.5x scale

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.