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Finding the Fourth Proportional to 486,302.20, 727,703.70 and 328,838.20

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Solution

The fourth proportional to 486,302.20, 727,703.70 and 328,838.20 is: 492,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,302.20 : 727,703.70 = 328,838.20 : x
  2. Step 2: Convert to fraction form
    486,302.20/727,703.70 = 328,838.20/x
  3. Step 3: Cross multiply
    486,302.20x = 727,703.70 × 328,838.20
  4. Step 4: Simplify right side
    486,302.20x = 239,296,774,841.34
  5. Step 5: Solve for x
    x = 239,296,774,841.34/486,302.20
  6. Step 6: Final answer
    x = 492,074.22

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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.