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Finding the Fourth Proportional to 467,000.70, 700,501.05 and 407,951.70

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Solution

The fourth proportional to 467,000.70, 700,501.05 and 407,951.70 is: 611,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,000.70 : 700,501.05 = 407,951.70 : x
  2. Step 2: Convert to fraction form
    467,000.70/700,501.05 = 407,951.70/x
  3. Step 3: Cross multiply
    467,000.70x = 700,501.05 × 407,951.70
  4. Step 4: Simplify right side
    467,000.70x = 285,770,594,199.29
  5. Step 5: Solve for x
    x = 285,770,594,199.29/467,000.70
  6. Step 6: Final answer
    x = 611,927.55

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Similar ratio
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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.