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Finding the Fourth Proportional to 509,094.25, 763,807.25 and 242,820.11

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Solution

The fourth proportional to 509,094.25, 763,807.25 and 242,820.11 is: 364,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,094.25 : 763,807.25 = 242,820.11 : x
  2. Step 2: Convert to fraction form
    509,094.25/763,807.25 = 242,820.11/x
  3. Step 3: Cross multiply
    509,094.25x = 763,807.25 × 242,820.11
  4. Step 4: Simplify right side
    509,094.25x = 185,467,762,980.37
  5. Step 5: Solve for x
    x = 185,467,762,980.37/509,094.25
  6. Step 6: Final answer
    x = 364,309.29

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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.