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Finding the Fourth Proportional to 507,328.26, 760,998.78 and 152,321.64

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Solution

The fourth proportional to 507,328.26, 760,998.78 and 152,321.64 is: 228,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,328.26 : 760,998.78 = 152,321.64 : x
  2. Step 2: Convert to fraction form
    507,328.26/760,998.78 = 152,321.64/x
  3. Step 3: Cross multiply
    507,328.26x = 760,998.78 × 152,321.64
  4. Step 4: Simplify right side
    507,328.26x = 115,916,582,207.60
  5. Step 5: Solve for x
    x = 115,916,582,207.60/507,328.26
  6. Step 6: Final answer
    x = 228,484.38

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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.