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Finding the Fourth Proportional to 323,128.29, 484,710.54 and 98,496.06

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Solution

The fourth proportional to 323,128.29, 484,710.54 and 98,496.06 is: 147,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,128.29 : 484,710.54 = 98,496.06 : x
  2. Step 2: Convert to fraction form
    323,128.29/484,710.54 = 98,496.06/x
  3. Step 3: Cross multiply
    323,128.29x = 484,710.54 × 98,496.06
  4. Step 4: Simplify right side
    323,128.29x = 47,742,078,430.47
  5. Step 5: Solve for x
    x = 47,742,078,430.47/323,128.29
  6. Step 6: Final answer
    x = 147,749.61

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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.