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Finding the Fourth Proportional to 471,424.32, 706,574.52 and 328,495.68

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Solution

The fourth proportional to 471,424.32, 706,574.52 and 328,495.68 is: 492,351.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,424.32 : 706,574.52 = 328,495.68 : x
  2. Step 2: Convert to fraction form
    471,424.32/706,574.52 = 328,495.68/x
  3. Step 3: Cross multiply
    471,424.32x = 706,574.52 × 328,495.68
  4. Step 4: Simplify right side
    471,424.32x = 232,106,677,418.07
  5. Step 5: Solve for x
    x = 232,106,677,418.07/471,424.32
  6. Step 6: Final answer
    x = 492,351.94

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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.