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Finding the Fourth Proportional to 462,952.18, 694,477.50 and 147,335.32

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Solution

The fourth proportional to 462,952.18, 694,477.50 and 147,335.32 is: 221,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,952.18 : 694,477.50 = 147,335.32 : x
  2. Step 2: Convert to fraction form
    462,952.18/694,477.50 = 147,335.32/x
  3. Step 3: Cross multiply
    462,952.18x = 694,477.50 × 147,335.32
  4. Step 4: Simplify right side
    462,952.18x = 102,321,064,695.30
  5. Step 5: Solve for x
    x = 102,321,064,695.30/462,952.18
  6. Step 6: Final answer
    x = 221,018.65

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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.