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Finding the Fourth Proportional to 708,289, 977,438.82 and 390,337

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Solution

The fourth proportional to 708,289, 977,438.82 and 390,337 is: 538,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,289 : 977,438.82 = 390,337 : x
  2. Step 2: Convert to fraction form
    708,289/977,438.82 = 390,337/x
  3. Step 3: Cross multiply
    708,289x = 977,438.82 × 390,337
  4. Step 4: Simplify right side
    708,289x = 381,530,536,682.34
  5. Step 5: Solve for x
    x = 381,530,536,682.34/708,289
  6. Step 6: Final answer
    x = 538,665.06

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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.