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Finding the Fourth Proportional to 306,644.90, 459,967.35 and 186,376.10

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Solution

The fourth proportional to 306,644.90, 459,967.35 and 186,376.10 is: 279,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,644.90 : 459,967.35 = 186,376.10 : x
  2. Step 2: Convert to fraction form
    306,644.90/459,967.35 = 186,376.10/x
  3. Step 3: Cross multiply
    306,644.90x = 459,967.35 × 186,376.10
  4. Step 4: Simplify right side
    306,644.90x = 85,726,920,820.34
  5. Step 5: Solve for x
    x = 85,726,920,820.34/306,644.90
  6. Step 6: Final answer
    x = 279,564.15

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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.