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Finding the Fourth Proportional to 512,030.12, 767,977.74 and 152,193.29

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Solution

The fourth proportional to 512,030.12, 767,977.74 and 152,193.29 is: 228,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,030.12 : 767,977.74 = 152,193.29 : x
  2. Step 2: Convert to fraction form
    512,030.12/767,977.74 = 152,193.29/x
  3. Step 3: Cross multiply
    512,030.12x = 767,977.74 × 152,193.29
  4. Step 4: Simplify right side
    512,030.12x = 116,881,055,057.48
  5. Step 5: Solve for x
    x = 116,881,055,057.48/512,030.12
  6. Step 6: Final answer
    x = 228,269.88

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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.