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Finding the Fourth Proportional to 510,097.10, 764,489.55 and 310,205.30

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Solution

The fourth proportional to 510,097.10, 764,489.55 and 310,205.30 is: 464,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,097.10 : 764,489.55 = 310,205.30 : x
  2. Step 2: Convert to fraction form
    510,097.10/764,489.55 = 310,205.30/x
  3. Step 3: Cross multiply
    510,097.10x = 764,489.55 × 310,205.30
  4. Step 4: Simplify right side
    510,097.10x = 237,148,710,204.62
  5. Step 5: Solve for x
    x = 237,148,710,204.62/510,097.10
  6. Step 6: Final answer
    x = 464,908.96

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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.