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Finding the Fourth Proportional to 515,057.40, 772,914.15 and 301,824.90

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Solution

The fourth proportional to 515,057.40, 772,914.15 and 301,824.90 is: 452,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,057.40 : 772,914.15 = 301,824.90 : x
  2. Step 2: Convert to fraction form
    515,057.40/772,914.15 = 301,824.90/x
  3. Step 3: Cross multiply
    515,057.40x = 772,914.15 × 301,824.90
  4. Step 4: Simplify right side
    515,057.40x = 233,284,736,032.34
  5. Step 5: Solve for x
    x = 233,284,736,032.34/515,057.40
  6. Step 6: Final answer
    x = 452,929.59

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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.