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Finding the Fourth Proportional to 314,827.60, 472,241.40 and 282,168.40

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Solution

The fourth proportional to 314,827.60, 472,241.40 and 282,168.40 is: 423,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,827.60 : 472,241.40 = 282,168.40 : x
  2. Step 2: Convert to fraction form
    314,827.60/472,241.40 = 282,168.40/x
  3. Step 3: Cross multiply
    314,827.60x = 472,241.40 × 282,168.40
  4. Step 4: Simplify right side
    314,827.60x = 133,251,600,251.76
  5. Step 5: Solve for x
    x = 133,251,600,251.76/314,827.60
  6. Step 6: Final answer
    x = 423,252.60

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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.