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Finding the Fourth Proportional to 512,119.67, 706,721.25 and 282,676.93

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Solution

The fourth proportional to 512,119.67, 706,721.25 and 282,676.93 is: 390,092.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,119.67 : 706,721.25 = 282,676.93 : x
  2. Step 2: Convert to fraction form
    512,119.67/706,721.25 = 282,676.93/x
  3. Step 3: Cross multiply
    512,119.67x = 706,721.25 × 282,676.93
  4. Step 4: Simplify right side
    512,119.67x = 199,773,788,368.77
  5. Step 5: Solve for x
    x = 199,773,788,368.77/512,119.67
  6. Step 6: Final answer
    x = 390,092.01

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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.