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Finding the Fourth Proportional to 524,705.48, 724,090.18 and 298,350.96

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Solution

The fourth proportional to 524,705.48, 724,090.18 and 298,350.96 is: 411,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,705.48 : 724,090.18 = 298,350.96 : x
  2. Step 2: Convert to fraction form
    524,705.48/724,090.18 = 298,350.96/x
  3. Step 3: Cross multiply
    524,705.48x = 724,090.18 × 298,350.96
  4. Step 4: Simplify right side
    524,705.48x = 216,033,000,329.57
  5. Step 5: Solve for x
    x = 216,033,000,329.57/524,705.48
  6. Step 6: Final answer
    x = 411,722.40

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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.