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Finding the Fourth Proportional to 390,096.99, 538,327.49 and 218,017.35

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Solution

The fourth proportional to 390,096.99, 538,327.49 and 218,017.35 is: 300,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,096.99 : 538,327.49 = 218,017.35 : x
  2. Step 2: Convert to fraction form
    390,096.99/538,327.49 = 218,017.35/x
  3. Step 3: Cross multiply
    390,096.99x = 538,327.49 × 218,017.35
  4. Step 4: Simplify right side
    390,096.99x = 117,364,731,711.87
  5. Step 5: Solve for x
    x = 117,364,731,711.87/390,096.99
  6. Step 6: Final answer
    x = 300,860.39

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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.