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Finding the Fourth Proportional to 524,705.46, 724,027.05 and 298,355.82

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Solution

The fourth proportional to 524,705.46, 724,027.05 and 298,355.82 is: 411,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,705.46 : 724,027.05 = 298,355.82 : x
  2. Step 2: Convert to fraction form
    524,705.46/724,027.05 = 298,355.82/x
  3. Step 3: Cross multiply
    524,705.46x = 724,027.05 × 298,355.82
  4. Step 4: Simplify right side
    524,705.46x = 216,017,684,204.93
  5. Step 5: Solve for x
    x = 216,017,684,204.93/524,705.46
  6. Step 6: Final answer
    x = 411,693.23

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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.