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Finding the Fourth Proportional to 465,393.21, 697,443.95 and 212,054.58

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Solution

The fourth proportional to 465,393.21, 697,443.95 and 212,054.58 is: 317,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,393.21 : 697,443.95 = 212,054.58 : x
  2. Step 2: Convert to fraction form
    465,393.21/697,443.95 = 212,054.58/x
  3. Step 3: Cross multiply
    465,393.21x = 697,443.95 × 212,054.58
  4. Step 4: Simplify right side
    465,393.21x = 147,896,182,830.52
  5. Step 5: Solve for x
    x = 147,896,182,830.52/465,393.21
  6. Step 6: Final answer
    x = 317,787.58

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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.