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Finding the Fourth Proportional to 334,221, 501,397.11 and 147,232.50

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Solution

The fourth proportional to 334,221, 501,397.11 and 147,232.50 is: 220,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,221 : 501,397.11 = 147,232.50 : x
  2. Step 2: Convert to fraction form
    334,221/501,397.11 = 147,232.50/x
  3. Step 3: Cross multiply
    334,221x = 501,397.11 × 147,232.50
  4. Step 4: Simplify right side
    334,221x = 73,821,949,998.08
  5. Step 5: Solve for x
    x = 73,821,949,998.08/334,221
  6. Step 6: Final answer
    x = 220,877.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.