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Finding the Fourth Proportional to 390,133, 538,427.37 and 220,378.06

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Solution

The fourth proportional to 390,133, 538,427.37 and 220,378.06 is: 304,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,133 : 538,427.37 = 220,378.06 : x
  2. Step 2: Convert to fraction form
    390,133/538,427.37 = 220,378.06/x
  3. Step 3: Cross multiply
    390,133x = 538,427.37 × 220,378.06
  4. Step 4: Simplify right side
    390,133x = 118,657,579,251.50
  5. Step 5: Solve for x
    x = 118,657,579,251.50/390,133
  6. Step 6: Final answer
    x = 304,146.48

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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.