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Finding the Fourth Proportional to 524,708.48, 724,094.32 and 298,353.96

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Solution

The fourth proportional to 524,708.48, 724,094.32 and 298,353.96 is: 411,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,708.48 : 724,094.32 = 298,353.96 : x
  2. Step 2: Convert to fraction form
    524,708.48/724,094.32 = 298,353.96/x
  3. Step 3: Cross multiply
    524,708.48x = 724,094.32 × 298,353.96
  4. Step 4: Simplify right side
    524,708.48x = 216,036,407,785.51
  5. Step 5: Solve for x
    x = 216,036,407,785.51/524,708.48
  6. Step 6: Final answer
    x = 411,726.54

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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.