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Finding the Fourth Proportional to 497,473.73, 686,516.06 and 282,625.58

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Solution

The fourth proportional to 497,473.73, 686,516.06 and 282,625.58 is: 390,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,473.73 : 686,516.06 = 282,625.58 : x
  2. Step 2: Convert to fraction form
    497,473.73/686,516.06 = 282,625.58/x
  3. Step 3: Cross multiply
    497,473.73x = 686,516.06 × 282,625.58
  4. Step 4: Simplify right side
    497,473.73x = 194,026,999,636.82
  5. Step 5: Solve for x
    x = 194,026,999,636.82/497,473.73
  6. Step 6: Final answer
    x = 390,024.61

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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.