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Finding the Fourth Proportional to 658,008.16, 987,048.20 and 208,696.48

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Solution

The fourth proportional to 658,008.16, 987,048.20 and 208,696.48 is: 313,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,008.16 : 987,048.20 = 208,696.48 : x
  2. Step 2: Convert to fraction form
    658,008.16/987,048.20 = 208,696.48/x
  3. Step 3: Cross multiply
    658,008.16x = 987,048.20 × 208,696.48
  4. Step 4: Simplify right side
    658,008.16x = 205,993,484,930.34
  5. Step 5: Solve for x
    x = 205,993,484,930.34/658,008.16
  6. Step 6: Final answer
    x = 313,056.13

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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.