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Finding the Fourth Proportional to 310,037.40, 465,056.10 and 278,544.60

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Solution

The fourth proportional to 310,037.40, 465,056.10 and 278,544.60 is: 417,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,037.40 : 465,056.10 = 278,544.60 : x
  2. Step 2: Convert to fraction form
    310,037.40/465,056.10 = 278,544.60/x
  3. Step 3: Cross multiply
    310,037.40x = 465,056.10 × 278,544.60
  4. Step 4: Simplify right side
    310,037.40x = 129,538,865,352.06
  5. Step 5: Solve for x
    x = 129,538,865,352.06/310,037.40
  6. Step 6: Final answer
    x = 417,816.90

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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.