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Finding the Fourth Proportional to 510,535.50, 766,153.20 and 178,111.50

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Solution

The fourth proportional to 510,535.50, 766,153.20 and 178,111.50 is: 267,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,535.50 : 766,153.20 = 178,111.50 : x
  2. Step 2: Convert to fraction form
    510,535.50/766,153.20 = 178,111.50/x
  3. Step 3: Cross multiply
    510,535.50x = 766,153.20 × 178,111.50
  4. Step 4: Simplify right side
    510,535.50x = 136,460,695,681.80
  5. Step 5: Solve for x
    x = 136,460,695,681.80/510,535.50
  6. Step 6: Final answer
    x = 267,289.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.