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Finding the Fourth Proportional to 416,124.10, 623,130.15 and 228,924.10

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Solution

The fourth proportional to 416,124.10, 623,130.15 and 228,924.10 is: 342,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,124.10 : 623,130.15 = 228,924.10 : x
  2. Step 2: Convert to fraction form
    416,124.10/623,130.15 = 228,924.10/x
  3. Step 3: Cross multiply
    416,124.10x = 623,130.15 × 228,924.10
  4. Step 4: Simplify right side
    416,124.10x = 142,649,508,771.62
  5. Step 5: Solve for x
    x = 142,649,508,771.62/416,124.10
  6. Step 6: Final answer
    x = 342,805.21

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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.