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Finding the Fourth Proportional to 314,722.36, 434,304.66 and 171,483.48

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Solution

The fourth proportional to 314,722.36, 434,304.66 and 171,483.48 is: 236,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,722.36 : 434,304.66 = 171,483.48 : x
  2. Step 2: Convert to fraction form
    314,722.36/434,304.66 = 171,483.48/x
  3. Step 3: Cross multiply
    314,722.36x = 434,304.66 × 171,483.48
  4. Step 4: Simplify right side
    314,722.36x = 74,476,074,477.02
  5. Step 5: Solve for x
    x = 74,476,074,477.02/314,722.36
  6. Step 6: Final answer
    x = 236,640.56

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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.