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Finding the Fourth Proportional to 507,493.50, 761,001.89 and 294,322.06

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Solution

The fourth proportional to 507,493.50, 761,001.89 and 294,322.06 is: 441,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,493.50 : 761,001.89 = 294,322.06 : x
  2. Step 2: Convert to fraction form
    507,493.50/761,001.89 = 294,322.06/x
  3. Step 3: Cross multiply
    507,493.50x = 761,001.89 × 294,322.06
  4. Step 4: Simplify right side
    507,493.50x = 223,979,639,127.70
  5. Step 5: Solve for x
    x = 223,979,639,127.70/507,493.50
  6. Step 6: Final answer
    x = 441,344.84

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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.