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Finding the Fourth Proportional to 484,645.52, 727,085.70 and 152,221.52

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Solution

The fourth proportional to 484,645.52, 727,085.70 and 152,221.52 is: 228,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,645.52 : 727,085.70 = 152,221.52 : x
  2. Step 2: Convert to fraction form
    484,645.52/727,085.70 = 152,221.52/x
  3. Step 3: Cross multiply
    484,645.52x = 727,085.70 × 152,221.52
  4. Step 4: Simplify right side
    484,645.52x = 110,678,090,424.26
  5. Step 5: Solve for x
    x = 110,678,090,424.26/484,645.52
  6. Step 6: Final answer
    x = 228,369.16

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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.