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Finding the Fourth Proportional to 416,177.60, 623,210.40 and 228,977.60

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Solution

The fourth proportional to 416,177.60, 623,210.40 and 228,977.60 is: 342,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,177.60 : 623,210.40 = 228,977.60 : x
  2. Step 2: Convert to fraction form
    416,177.60/623,210.40 = 228,977.60/x
  3. Step 3: Cross multiply
    416,177.60x = 623,210.40 × 228,977.60
  4. Step 4: Simplify right side
    416,177.60x = 142,701,221,687.04
  5. Step 5: Solve for x
    x = 142,701,221,687.04/416,177.60
  6. Step 6: Final answer
    x = 342,885.40

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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.