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Finding the Fourth Proportional to 310,575.60, 465,863.40 and 301,827.60

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Solution

The fourth proportional to 310,575.60, 465,863.40 and 301,827.60 is: 452,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,575.60 : 465,863.40 = 301,827.60 : x
  2. Step 2: Convert to fraction form
    310,575.60/465,863.40 = 301,827.60/x
  3. Step 3: Cross multiply
    310,575.60x = 465,863.40 × 301,827.60
  4. Step 4: Simplify right side
    310,575.60x = 140,610,431,949.84
  5. Step 5: Solve for x
    x = 140,610,431,949.84/310,575.60
  6. Step 6: Final answer
    x = 452,741.40

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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.