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Finding the Fourth Proportional to 312,573.60, 468,860.40 and 102,232.80

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Solution

The fourth proportional to 312,573.60, 468,860.40 and 102,232.80 is: 153,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,573.60 : 468,860.40 = 102,232.80 : x
  2. Step 2: Convert to fraction form
    312,573.60/468,860.40 = 102,232.80/x
  3. Step 3: Cross multiply
    312,573.60x = 468,860.40 × 102,232.80
  4. Step 4: Simplify right side
    312,573.60x = 47,932,911,501.12
  5. Step 5: Solve for x
    x = 47,932,911,501.12/312,573.60
  6. Step 6: Final answer
    x = 153,349.20

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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.