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Finding the Fourth Proportional to 413,929.48, 620,898.06 and 164,675.08

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Solution

The fourth proportional to 413,929.48, 620,898.06 and 164,675.08 is: 247,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,929.48 : 620,898.06 = 164,675.08 : x
  2. Step 2: Convert to fraction form
    413,929.48/620,898.06 = 164,675.08/x
  3. Step 3: Cross multiply
    413,929.48x = 620,898.06 × 164,675.08
  4. Step 4: Simplify right side
    413,929.48x = 102,246,437,702.35
  5. Step 5: Solve for x
    x = 102,246,437,702.35/413,929.48
  6. Step 6: Final answer
    x = 247,014.15

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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.