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Finding the Fourth Proportional to 314,432.52, 433,903.24 and 171,193.08

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Solution

The fourth proportional to 314,432.52, 433,903.24 and 171,193.08 is: 236,239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,432.52 : 433,903.24 = 171,193.08 : x
  2. Step 2: Convert to fraction form
    314,432.52/433,903.24 = 171,193.08/x
  3. Step 3: Cross multiply
    314,432.52x = 433,903.24 × 171,193.08
  4. Step 4: Simplify right side
    314,432.52x = 74,281,232,077.58
  5. Step 5: Solve for x
    x = 74,281,232,077.58/314,432.52
  6. Step 6: Final answer
    x = 236,239.03

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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.