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Finding the Fourth Proportional to 553,296.60, 830,042.10 and 198,516.60

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Solution

The fourth proportional to 553,296.60, 830,042.10 and 198,516.60 is: 297,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,296.60 : 830,042.10 = 198,516.60 : x
  2. Step 2: Convert to fraction form
    553,296.60/830,042.10 = 198,516.60/x
  3. Step 3: Cross multiply
    553,296.60x = 830,042.10 × 198,516.60
  4. Step 4: Simplify right side
    553,296.60x = 164,777,135,548.86
  5. Step 5: Solve for x
    x = 164,777,135,548.86/553,296.60
  6. Step 6: Final answer
    x = 297,809.77

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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.