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Finding the Fourth Proportional to 524,462.96, 786,477.56 and 164,513.75

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Solution

The fourth proportional to 524,462.96, 786,477.56 and 164,513.75 is: 246,702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,462.96 : 786,477.56 = 164,513.75 : x
  2. Step 2: Convert to fraction form
    524,462.96/786,477.56 = 164,513.75/x
  3. Step 3: Cross multiply
    524,462.96x = 786,477.56 × 164,513.75
  4. Step 4: Simplify right side
    524,462.96x = 129,386,367,931.49
  5. Step 5: Solve for x
    x = 129,386,367,931.49/524,462.96
  6. Step 6: Final answer
    x = 246,702.59

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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.