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Finding the Fourth Proportional to 509,000.20, 763,014.30 and 189,066.40

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Solution

The fourth proportional to 509,000.20, 763,014.30 and 189,066.40 is: 283,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,000.20 : 763,014.30 = 189,066.40 : x
  2. Step 2: Convert to fraction form
    509,000.20/763,014.30 = 189,066.40/x
  3. Step 3: Cross multiply
    509,000.20x = 763,014.30 × 189,066.40
  4. Step 4: Simplify right side
    509,000.20x = 144,260,366,849.52
  5. Step 5: Solve for x
    x = 144,260,366,849.52/509,000.20
  6. Step 6: Final answer
    x = 283,419.08

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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.