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Finding the Fourth Proportional to 416,014.84, 623,456.78 and 175,929.16

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Solution

The fourth proportional to 416,014.84, 623,456.78 and 175,929.16 is: 263,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,014.84 : 623,456.78 = 175,929.16 : x
  2. Step 2: Convert to fraction form
    416,014.84/623,456.78 = 175,929.16/x
  3. Step 3: Cross multiply
    416,014.84x = 623,456.78 × 175,929.16
  4. Step 4: Simplify right side
    416,014.84x = 109,684,227,601.71
  5. Step 5: Solve for x
    x = 109,684,227,601.71/416,014.84
  6. Step 6: Final answer
    x = 263,654.60

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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.