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Finding the Fourth Proportional to 464,232.60, 696,348.90 and 228,036.60

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Solution

The fourth proportional to 464,232.60, 696,348.90 and 228,036.60 is: 342,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,232.60 : 696,348.90 = 228,036.60 : x
  2. Step 2: Convert to fraction form
    464,232.60/696,348.90 = 228,036.60/x
  3. Step 3: Cross multiply
    464,232.60x = 696,348.90 × 228,036.60
  4. Step 4: Simplify right side
    464,232.60x = 158,793,035,569.74
  5. Step 5: Solve for x
    x = 158,793,035,569.74/464,232.60
  6. Step 6: Final answer
    x = 342,054.90

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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.