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Finding the Fourth Proportional to 314,395.52, 433,852.20 and 171,156.06

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Solution

The fourth proportional to 314,395.52, 433,852.20 and 171,156.06 is: 236,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,395.52 : 433,852.20 = 171,156.06 : x
  2. Step 2: Convert to fraction form
    314,395.52/433,852.20 = 171,156.06/x
  3. Step 3: Cross multiply
    314,395.52x = 433,852.20 × 171,156.06
  4. Step 4: Simplify right side
    314,395.52x = 74,256,433,174.33
  5. Step 5: Solve for x
    x = 74,256,433,174.33/314,395.52
  6. Step 6: Final answer
    x = 236,187.95

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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.