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Finding the Fourth Proportional to 474,284.15, 711,427.44 and 193,801.40

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Solution

The fourth proportional to 474,284.15, 711,427.44 and 193,801.40 is: 290,702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,284.15 : 711,427.44 = 193,801.40 : x
  2. Step 2: Convert to fraction form
    474,284.15/711,427.44 = 193,801.40/x
  3. Step 3: Cross multiply
    474,284.15x = 711,427.44 × 193,801.40
  4. Step 4: Simplify right side
    474,284.15x = 137,875,630,313.28
  5. Step 5: Solve for x
    x = 137,875,630,313.28/474,284.15
  6. Step 6: Final answer
    x = 290,702.59

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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.