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Finding the Fourth Proportional to 860,314.10, 1,290,298.35 and 411,034.10

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Solution

The fourth proportional to 860,314.10, 1,290,298.35 and 411,034.10 is: 616,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,314.10 : 1,290,298.35 = 411,034.10 : x
  2. Step 2: Convert to fraction form
    860,314.10/1,290,298.35 = 411,034.10/x
  3. Step 3: Cross multiply
    860,314.10x = 1,290,298.35 × 411,034.10
  4. Step 4: Simplify right side
    860,314.10x = 530,356,621,023.74
  5. Step 5: Solve for x
    x = 530,356,621,023.74/860,314.10
  6. Step 6: Final answer
    x = 616,468.59

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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.