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Finding the Fourth Proportional to 602,023.07, 902,469.60 and 202,384.32

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Solution

The fourth proportional to 602,023.07, 902,469.60 and 202,384.32 is: 303,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,023.07 : 902,469.60 = 202,384.32 : x
  2. Step 2: Convert to fraction form
    602,023.07/902,469.60 = 202,384.32/x
  3. Step 3: Cross multiply
    602,023.07x = 902,469.60 × 202,384.32
  4. Step 4: Simplify right side
    602,023.07x = 182,645,696,316.67
  5. Step 5: Solve for x
    x = 182,645,696,316.67/602,023.07
  6. Step 6: Final answer
    x = 303,386.54

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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.