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Finding the Fourth Proportional to 390,516.86, 538,926 and 216,089.03

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Solution

The fourth proportional to 390,516.86, 538,926 and 216,089.03 is: 298,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,516.86 : 538,926 = 216,089.03 : x
  2. Step 2: Convert to fraction form
    390,516.86/538,926 = 216,089.03/x
  3. Step 3: Cross multiply
    390,516.86x = 538,926 × 216,089.03
  4. Step 4: Simplify right side
    390,516.86x = 116,455,996,581.78
  5. Step 5: Solve for x
    x = 116,455,996,581.78/390,516.86
  6. Step 6: Final answer
    x = 298,209.91

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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.