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Finding the Fourth Proportional to 472,935.30, 709,129.89 and 323,356.74

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Solution

The fourth proportional to 472,935.30, 709,129.89 and 323,356.74 is: 484,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,935.30 : 709,129.89 = 323,356.74 : x
  2. Step 2: Convert to fraction form
    472,935.30/709,129.89 = 323,356.74/x
  3. Step 3: Cross multiply
    472,935.30x = 709,129.89 × 323,356.74
  4. Step 4: Simplify right side
    472,935.30x = 229,301,929,466.96
  5. Step 5: Solve for x
    x = 229,301,929,466.96/472,935.30
  6. Step 6: Final answer
    x = 484,848.41

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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.