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Finding the Fourth Proportional to 524,886.83, 724,383.92 and 298,518.83

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Solution

The fourth proportional to 524,886.83, 724,383.92 and 298,518.83 is: 411,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,886.83 : 724,383.92 = 298,518.83 : x
  2. Step 2: Convert to fraction form
    524,886.83/724,383.92 = 298,518.83/x
  3. Step 3: Cross multiply
    524,886.83x = 724,383.92 × 298,518.83
  4. Step 4: Simplify right side
    524,886.83x = 216,242,238,776.62
  5. Step 5: Solve for x
    x = 216,242,238,776.62/524,886.83
  6. Step 6: Final answer
    x = 411,978.79

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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.