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Finding the Fourth Proportional to 314,417.16, 433,069.20 and 241,680.96

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Solution

The fourth proportional to 314,417.16, 433,069.20 and 241,680.96 is: 332,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,417.16 : 433,069.20 = 241,680.96 : x
  2. Step 2: Convert to fraction form
    314,417.16/433,069.20 = 241,680.96/x
  3. Step 3: Cross multiply
    314,417.16x = 433,069.20 × 241,680.96
  4. Step 4: Simplify right side
    314,417.16x = 104,664,580,002.43
  5. Step 5: Solve for x
    x = 104,664,580,002.43/314,417.16
  6. Step 6: Final answer
    x = 332,884.44

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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.