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Finding the Fourth Proportional to 301,360, 415,896.24 and 167,224

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Solution

The fourth proportional to 301,360, 415,896.24 and 167,224 is: 230,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,360 : 415,896.24 = 167,224 : x
  2. Step 2: Convert to fraction form
    301,360/415,896.24 = 167,224/x
  3. Step 3: Cross multiply
    301,360x = 415,896.24 × 167,224
  4. Step 4: Simplify right side
    301,360x = 69,547,832,837.76
  5. Step 5: Solve for x
    x = 69,547,832,837.76/301,360
  6. Step 6: Final answer
    x = 230,779.91

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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.