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Finding the Fourth Proportional to 510,051.90, 763,911.45 and 260,442.30

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Solution

The fourth proportional to 510,051.90, 763,911.45 and 260,442.30 is: 390,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,051.90 : 763,911.45 = 260,442.30 : x
  2. Step 2: Convert to fraction form
    510,051.90/763,911.45 = 260,442.30/x
  3. Step 3: Cross multiply
    510,051.90x = 763,911.45 × 260,442.30
  4. Step 4: Simplify right side
    510,051.90x = 198,954,855,034.34
  5. Step 5: Solve for x
    x = 198,954,855,034.34/510,051.90
  6. Step 6: Final answer
    x = 390,067.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.