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Finding the Fourth Proportional to 304,823.64, 420,656.55 and 167,007.47

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Solution

The fourth proportional to 304,823.64, 420,656.55 and 167,007.47 is: 230,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,823.64 : 420,656.55 = 167,007.47 : x
  2. Step 2: Convert to fraction form
    304,823.64/420,656.55 = 167,007.47/x
  3. Step 3: Cross multiply
    304,823.64x = 420,656.55 × 167,007.47
  4. Step 4: Simplify right side
    304,823.64x = 70,252,784,051.15
  5. Step 5: Solve for x
    x = 70,252,784,051.15/304,823.64
  6. Step 6: Final answer
    x = 230,470.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.