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Finding the Fourth Proportional to 314,797.32, 434,407.68 and 171,554.31

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Solution

The fourth proportional to 314,797.32, 434,407.68 and 171,554.31 is: 236,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,797.32 : 434,407.68 = 171,554.31 : x
  2. Step 2: Convert to fraction form
    314,797.32/434,407.68 = 171,554.31/x
  3. Step 3: Cross multiply
    314,797.32x = 434,407.68 × 171,554.31
  4. Step 4: Simplify right side
    314,797.32x = 74,524,509,801.10
  5. Step 5: Solve for x
    x = 74,524,509,801.10/314,797.32
  6. Step 6: Final answer
    x = 236,738.07

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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.