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Finding the Fourth Proportional to 416,124.60, 623,130.90 and 228,924.60

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Solution

The fourth proportional to 416,124.60, 623,130.90 and 228,924.60 is: 342,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,124.60 : 623,130.90 = 228,924.60 : x
  2. Step 2: Convert to fraction form
    416,124.60/623,130.90 = 228,924.60/x
  3. Step 3: Cross multiply
    416,124.60x = 623,130.90 × 228,924.60
  4. Step 4: Simplify right side
    416,124.60x = 142,649,992,030.14
  5. Step 5: Solve for x
    x = 142,649,992,030.14/416,124.60
  6. Step 6: Final answer
    x = 342,805.96

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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.