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Finding the Fourth Proportional to 602,322.57, 902,896.34 and 286,694.73

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Solution

The fourth proportional to 602,322.57, 902,896.34 and 286,694.73 is: 429,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,322.57 : 902,896.34 = 286,694.73 : x
  2. Step 2: Convert to fraction form
    602,322.57/902,896.34 = 286,694.73/x
  3. Step 3: Cross multiply
    602,322.57x = 902,896.34 × 286,694.73
  4. Step 4: Simplify right side
    602,322.57x = 258,855,620,980.82
  5. Step 5: Solve for x
    x = 258,855,620,980.82/602,322.57
  6. Step 6: Final answer
    x = 429,762.45

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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.