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Finding the Fourth Proportional to 314,465.92, 433,957.35 and 171,223.36

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Solution

The fourth proportional to 314,465.92, 433,957.35 and 171,223.36 is: 236,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,465.92 : 433,957.35 = 171,223.36 : x
  2. Step 2: Convert to fraction form
    314,465.92/433,957.35 = 171,223.36/x
  3. Step 3: Cross multiply
    314,465.92x = 433,957.35 × 171,223.36
  4. Step 4: Simplify right side
    314,465.92x = 74,303,635,563.70
  5. Step 5: Solve for x
    x = 74,303,635,563.70/314,465.92
  6. Step 6: Final answer
    x = 236,285.18

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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.