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Finding the Fourth Proportional to 456,152.83, 684,018.63 and 167,892.06

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Solution

The fourth proportional to 456,152.83, 684,018.63 and 167,892.06 is: 251,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,152.83 : 684,018.63 = 167,892.06 : x
  2. Step 2: Convert to fraction form
    456,152.83/684,018.63 = 167,892.06/x
  3. Step 3: Cross multiply
    456,152.83x = 684,018.63 × 167,892.06
  4. Step 4: Simplify right side
    456,152.83x = 114,841,296,869.08
  5. Step 5: Solve for x
    x = 114,841,296,869.08/456,152.83
  6. Step 6: Final answer
    x = 251,760.57

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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.