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Finding the Fourth Proportional to 390,138, 538,434.27 and 220,383.06

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Solution

The fourth proportional to 390,138, 538,434.27 and 220,383.06 is: 304,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,138 : 538,434.27 = 220,383.06 : x
  2. Step 2: Convert to fraction form
    390,138/538,434.27 = 220,383.06/x
  3. Step 3: Cross multiply
    390,138x = 538,434.27 × 220,383.06
  4. Step 4: Simplify right side
    390,138x = 118,661,792,031.47
  5. Step 5: Solve for x
    x = 118,661,792,031.47/390,138
  6. Step 6: Final answer
    x = 304,153.38

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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.