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Finding the Fourth Proportional to 314,914.08, 433,752.12 and 261,026.40

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Solution

The fourth proportional to 314,914.08, 433,752.12 and 261,026.40 is: 359,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,914.08 : 433,752.12 = 261,026.40 : x
  2. Step 2: Convert to fraction form
    314,914.08/433,752.12 = 261,026.40/x
  3. Step 3: Cross multiply
    314,914.08x = 433,752.12 × 261,026.40
  4. Step 4: Simplify right side
    314,914.08x = 113,220,754,375.97
  5. Step 5: Solve for x
    x = 113,220,754,375.97/314,914.08
  6. Step 6: Final answer
    x = 359,529.03

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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.