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Finding the Fourth Proportional to 601,216, 829,678.32 and 332,944

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Solution

The fourth proportional to 601,216, 829,678.32 and 332,944 is: 459,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,216 : 829,678.32 = 332,944 : x
  2. Step 2: Convert to fraction form
    601,216/829,678.32 = 332,944/x
  3. Step 3: Cross multiply
    601,216x = 829,678.32 × 332,944
  4. Step 4: Simplify right side
    601,216x = 276,236,418,574.08
  5. Step 5: Solve for x
    x = 276,236,418,574.08/601,216
  6. Step 6: Final answer
    x = 459,462.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.