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Finding the Fourth Proportional to 415,309.60, 623,655.60 and 228,455.20

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Solution

The fourth proportional to 415,309.60, 623,655.60 and 228,455.20 is: 343,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,309.60 : 623,655.60 = 228,455.20 : x
  2. Step 2: Convert to fraction form
    415,309.60/623,655.60 = 228,455.20/x
  3. Step 3: Cross multiply
    415,309.60x = 623,655.60 × 228,455.20
  4. Step 4: Simplify right side
    415,309.60x = 142,477,364,829.12
  5. Step 5: Solve for x
    x = 142,477,364,829.12/415,309.60
  6. Step 6: Final answer
    x = 343,063.02

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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.