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Finding the Fourth Proportional to 335,464.13, 502,830.20 and 164,803.29

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Solution

The fourth proportional to 335,464.13, 502,830.20 and 164,803.29 is: 247,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,464.13 : 502,830.20 = 164,803.29 : x
  2. Step 2: Convert to fraction form
    335,464.13/502,830.20 = 164,803.29/x
  3. Step 3: Cross multiply
    335,464.13x = 502,830.20 × 164,803.29
  4. Step 4: Simplify right side
    335,464.13x = 82,868,071,699.15
  5. Step 5: Solve for x
    x = 82,868,071,699.15/335,464.13
  6. Step 6: Final answer
    x = 247,025.13

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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.