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Finding the Fourth Proportional to 471,251.40, 705,321.90 and 365,497.80

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Solution

The fourth proportional to 471,251.40, 705,321.90 and 365,497.80 is: 547,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,251.40 : 705,321.90 = 365,497.80 : x
  2. Step 2: Convert to fraction form
    471,251.40/705,321.90 = 365,497.80/x
  3. Step 3: Cross multiply
    471,251.40x = 705,321.90 × 365,497.80
  4. Step 4: Simplify right side
    471,251.40x = 257,793,602,741.82
  5. Step 5: Solve for x
    x = 257,793,602,741.82/471,251.40
  6. Step 6: Final answer
    x = 547,040.50

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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.