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Finding the Fourth Proportional to 507,321.48, 761,098.86 and 152,342.22

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Solution

The fourth proportional to 507,321.48, 761,098.86 and 152,342.22 is: 228,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,321.48 : 761,098.86 = 152,342.22 : x
  2. Step 2: Convert to fraction form
    507,321.48/761,098.86 = 152,342.22/x
  3. Step 3: Cross multiply
    507,321.48x = 761,098.86 × 152,342.22
  4. Step 4: Simplify right side
    507,321.48x = 115,947,489,971.87
  5. Step 5: Solve for x
    x = 115,947,489,971.87/507,321.48
  6. Step 6: Final answer
    x = 228,548.36

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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.