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Finding the Fourth Proportional to 472,827.84, 708,650.74 and 303,898.56

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Solution

The fourth proportional to 472,827.84, 708,650.74 and 303,898.56 is: 455,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,827.84 : 708,650.74 = 303,898.56 : x
  2. Step 2: Convert to fraction form
    472,827.84/708,650.74 = 303,898.56/x
  3. Step 3: Cross multiply
    472,827.84x = 708,650.74 × 303,898.56
  4. Step 4: Simplify right side
    472,827.84x = 215,357,939,428.93
  5. Step 5: Solve for x
    x = 215,357,939,428.93/472,827.84
  6. Step 6: Final answer
    x = 455,467.98

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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.