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Finding the Fourth Proportional to 416,127.10, 623,134.65 and 228,927.10

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Solution

The fourth proportional to 416,127.10, 623,134.65 and 228,927.10 is: 342,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,127.10 : 623,134.65 = 228,927.10 : x
  2. Step 2: Convert to fraction form
    416,127.10/623,134.65 = 228,927.10/x
  3. Step 3: Cross multiply
    416,127.10x = 623,134.65 × 228,927.10
  4. Step 4: Simplify right side
    416,127.10x = 142,652,408,334.02
  5. Step 5: Solve for x
    x = 142,652,408,334.02/416,127.10
  6. Step 6: Final answer
    x = 342,809.70

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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.