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Finding the Fourth Proportional to 474,488.96, 711,897.44 and 296,784.24

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Solution

The fourth proportional to 474,488.96, 711,897.44 and 296,784.24 is: 445,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,488.96 : 711,897.44 = 296,784.24 : x
  2. Step 2: Convert to fraction form
    474,488.96/711,897.44 = 296,784.24/x
  3. Step 3: Cross multiply
    474,488.96x = 711,897.44 × 296,784.24
  4. Step 4: Simplify right side
    474,488.96x = 211,279,940,688.35
  5. Step 5: Solve for x
    x = 211,279,940,688.35/474,488.96
  6. Step 6: Final answer
    x = 445,278.94

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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.