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Finding the Fourth Proportional to 334,055.20, 501,082.80 and 314,809.60

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Solution

The fourth proportional to 334,055.20, 501,082.80 and 314,809.60 is: 472,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,055.20 : 501,082.80 = 314,809.60 : x
  2. Step 2: Convert to fraction form
    334,055.20/501,082.80 = 314,809.60/x
  3. Step 3: Cross multiply
    334,055.20x = 501,082.80 × 314,809.60
  4. Step 4: Simplify right side
    334,055.20x = 157,745,675,834.88
  5. Step 5: Solve for x
    x = 157,745,675,834.88/334,055.20
  6. Step 6: Final answer
    x = 472,214.40

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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.