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Finding the Fourth Proportional to 556,027.96, 767,310.24 and 314,302

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Solution

The fourth proportional to 556,027.96, 767,310.24 and 314,302 is: 433,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,027.96 : 767,310.24 = 314,302 : x
  2. Step 2: Convert to fraction form
    556,027.96/767,310.24 = 314,302/x
  3. Step 3: Cross multiply
    556,027.96x = 767,310.24 × 314,302
  4. Step 4: Simplify right side
    556,027.96x = 241,167,143,052.48
  5. Step 5: Solve for x
    x = 241,167,143,052.48/556,027.96
  6. Step 6: Final answer
    x = 433,732.04

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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.