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Finding the Fourth Proportional to 362,311.70, 542,811.45 and 309,823.70

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Solution

The fourth proportional to 362,311.70, 542,811.45 and 309,823.70 is: 464,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,311.70 : 542,811.45 = 309,823.70 : x
  2. Step 2: Convert to fraction form
    362,311.70/542,811.45 = 309,823.70/x
  3. Step 3: Cross multiply
    362,311.70x = 542,811.45 × 309,823.70
  4. Step 4: Simplify right side
    362,311.70x = 168,175,851,841.37
  5. Step 5: Solve for x
    x = 168,175,851,841.37/362,311.70
  6. Step 6: Final answer
    x = 464,174.50

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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.