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Finding the Fourth Proportional to 410,437.72, 616,035.02 and 208,175.76

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Solution

The fourth proportional to 410,437.72, 616,035.02 and 208,175.76 is: 312,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,437.72 : 616,035.02 = 208,175.76 : x
  2. Step 2: Convert to fraction form
    410,437.72/616,035.02 = 208,175.76/x
  3. Step 3: Cross multiply
    410,437.72x = 616,035.02 × 208,175.76
  4. Step 4: Simplify right side
    410,437.72x = 128,243,558,475.12
  5. Step 5: Solve for x
    x = 128,243,558,475.12/410,437.72
  6. Step 6: Final answer
    x = 312,455.59

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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.