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Finding the Fourth Proportional to 390,421.52, 538,777.88 and 218,337.53

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Solution

The fourth proportional to 390,421.52, 538,777.88 and 218,337.53 is: 301,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,421.52 : 538,777.88 = 218,337.53 : x
  2. Step 2: Convert to fraction form
    390,421.52/538,777.88 = 218,337.53/x
  3. Step 3: Cross multiply
    390,421.52x = 538,777.88 × 218,337.53
  4. Step 4: Simplify right side
    390,421.52x = 117,635,428,571.03
  5. Step 5: Solve for x
    x = 117,635,428,571.03/390,421.52
  6. Step 6: Final answer
    x = 301,303.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.