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Finding the Fourth Proportional to 524,551.56, 786,825.96 and 224,837.82

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Solution

The fourth proportional to 524,551.56, 786,825.96 and 224,837.82 is: 337,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,551.56 : 786,825.96 = 224,837.82 : x
  2. Step 2: Convert to fraction form
    524,551.56/786,825.96 = 224,837.82/x
  3. Step 3: Cross multiply
    524,551.56x = 786,825.96 × 224,837.82
  4. Step 4: Simplify right side
    524,551.56x = 176,908,233,565.81
  5. Step 5: Solve for x
    x = 176,908,233,565.81/524,551.56
  6. Step 6: Final answer
    x = 337,256.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.