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Finding the Fourth Proportional to 314,160.40, 471,240.60 and 243,301.60

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Solution

The fourth proportional to 314,160.40, 471,240.60 and 243,301.60 is: 364,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,160.40 : 471,240.60 = 243,301.60 : x
  2. Step 2: Convert to fraction form
    314,160.40/471,240.60 = 243,301.60/x
  3. Step 3: Cross multiply
    314,160.40x = 471,240.60 × 243,301.60
  4. Step 4: Simplify right side
    314,160.40x = 114,653,591,964.96
  5. Step 5: Solve for x
    x = 114,653,591,964.96/314,160.40
  6. Step 6: Final answer
    x = 364,952.40

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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.