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Finding the Fourth Proportional to 346,756.64, 520,207.68 and 197,066.24

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Solution

The fourth proportional to 346,756.64, 520,207.68 and 197,066.24 is: 295,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,756.64 : 520,207.68 = 197,066.24 : x
  2. Step 2: Convert to fraction form
    346,756.64/520,207.68 = 197,066.24/x
  3. Step 3: Cross multiply
    346,756.64x = 520,207.68 × 197,066.24
  4. Step 4: Simplify right side
    346,756.64x = 102,515,371,516.72
  5. Step 5: Solve for x
    x = 102,515,371,516.72/346,756.64
  6. Step 6: Final answer
    x = 295,640.69

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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.