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Finding the Fourth Proportional to 301,386.32, 415,929.48 and 167,253.20

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Solution

The fourth proportional to 301,386.32, 415,929.48 and 167,253.20 is: 230,818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,386.32 : 415,929.48 = 167,253.20 : x
  2. Step 2: Convert to fraction form
    301,386.32/415,929.48 = 167,253.20/x
  3. Step 3: Cross multiply
    301,386.32x = 415,929.48 × 167,253.20
  4. Step 4: Simplify right side
    301,386.32x = 69,565,536,504.34
  5. Step 5: Solve for x
    x = 69,565,536,504.34/301,386.32
  6. Step 6: Final answer
    x = 230,818.49

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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.