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Finding the Fourth Proportional to 310,097.60, 465,146.40 and 305,950.40

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Solution

The fourth proportional to 310,097.60, 465,146.40 and 305,950.40 is: 458,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,097.60 : 465,146.40 = 305,950.40 : x
  2. Step 2: Convert to fraction form
    310,097.60/465,146.40 = 305,950.40/x
  3. Step 3: Cross multiply
    310,097.60x = 465,146.40 × 305,950.40
  4. Step 4: Simplify right side
    310,097.60x = 142,311,727,138.56
  5. Step 5: Solve for x
    x = 142,311,727,138.56/310,097.60
  6. Step 6: Final answer
    x = 458,925.60

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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.