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Finding the Fourth Proportional to 314,857.40, 472,242.90 and 104,473.40

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Solution

The fourth proportional to 314,857.40, 472,242.90 and 104,473.40 is: 156,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,857.40 : 472,242.90 = 104,473.40 : x
  2. Step 2: Convert to fraction form
    314,857.40/472,242.90 = 104,473.40/x
  3. Step 3: Cross multiply
    314,857.40x = 472,242.90 × 104,473.40
  4. Step 4: Simplify right side
    314,857.40x = 49,336,821,388.86
  5. Step 5: Solve for x
    x = 49,336,821,388.86/314,857.40
  6. Step 6: Final answer
    x = 156,695.77

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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.