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Finding the Fourth Proportional to 463,530.92, 695,332.32 and 139,293.70

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Solution

The fourth proportional to 463,530.92, 695,332.32 and 139,293.70 is: 208,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,530.92 : 695,332.32 = 139,293.70 : x
  2. Step 2: Convert to fraction form
    463,530.92/695,332.32 = 139,293.70/x
  3. Step 3: Cross multiply
    463,530.92x = 695,332.32 × 139,293.70
  4. Step 4: Simplify right side
    463,530.92x = 96,855,408,105.72
  5. Step 5: Solve for x
    x = 96,855,408,105.72/463,530.92
  6. Step 6: Final answer
    x = 208,951.34

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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.