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Finding the Fourth Proportional to 310,024.70, 465,037.05 and 308,056.40

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Solution

The fourth proportional to 310,024.70, 465,037.05 and 308,056.40 is: 462,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,024.70 : 465,037.05 = 308,056.40 : x
  2. Step 2: Convert to fraction form
    310,024.70/465,037.05 = 308,056.40/x
  3. Step 3: Cross multiply
    310,024.70x = 465,037.05 × 308,056.40
  4. Step 4: Simplify right side
    310,024.70x = 143,257,639,489.62
  5. Step 5: Solve for x
    x = 143,257,639,489.62/310,024.70
  6. Step 6: Final answer
    x = 462,084.60

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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.