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Finding the Fourth Proportional to 509,688.40, 765,115.80 and 299,444.80

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Solution

The fourth proportional to 509,688.40, 765,115.80 and 299,444.80 is: 449,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,688.40 : 765,115.80 = 299,444.80 : x
  2. Step 2: Convert to fraction form
    509,688.40/765,115.80 = 299,444.80/x
  3. Step 3: Cross multiply
    509,688.40x = 765,115.80 × 299,444.80
  4. Step 4: Simplify right side
    509,688.40x = 229,109,947,707.84
  5. Step 5: Solve for x
    x = 229,109,947,707.84/509,688.40
  6. Step 6: Final answer
    x = 449,509.83

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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.