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Finding the Fourth Proportional to 654,436.98, 902,819.93 and 382,516.34

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Solution

The fourth proportional to 654,436.98, 902,819.93 and 382,516.34 is: 527,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,436.98 : 902,819.93 = 382,516.34 : x
  2. Step 2: Convert to fraction form
    654,436.98/902,819.93 = 382,516.34/x
  3. Step 3: Cross multiply
    654,436.98x = 902,819.93 × 382,516.34
  4. Step 4: Simplify right side
    654,436.98x = 345,343,368,875.98
  5. Step 5: Solve for x
    x = 345,343,368,875.98/654,436.98
  6. Step 6: Final answer
    x = 527,695.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.