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Finding the Fourth Proportional to 509,070.15, 763,771.32 and 242,796.06

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Solution

The fourth proportional to 509,070.15, 763,771.32 and 242,796.06 is: 364,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,070.15 : 763,771.32 = 242,796.06 : x
  2. Step 2: Convert to fraction form
    509,070.15/763,771.32 = 242,796.06/x
  3. Step 3: Cross multiply
    509,070.15x = 763,771.32 × 242,796.06
  4. Step 4: Simplify right side
    509,070.15x = 185,440,667,237.00
  5. Step 5: Solve for x
    x = 185,440,667,237.00/509,070.15
  6. Step 6: Final answer
    x = 364,273.31

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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.