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Finding the Fourth Proportional to 415,461.60, 623,883.60 and 228,607.20

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Solution

The fourth proportional to 415,461.60, 623,883.60 and 228,607.20 is: 343,291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,461.60 : 623,883.60 = 228,607.20 : x
  2. Step 2: Convert to fraction form
    415,461.60/623,883.60 = 228,607.20/x
  3. Step 3: Cross multiply
    415,461.60x = 623,883.60 × 228,607.20
  4. Step 4: Simplify right side
    415,461.60x = 142,624,282,921.92
  5. Step 5: Solve for x
    x = 142,624,282,921.92/415,461.60
  6. Step 6: Final answer
    x = 343,291.13

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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.