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Finding the Fourth Proportional to 383,460.10, 575,449.35 and 214,980.10

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Solution

The fourth proportional to 383,460.10, 575,449.35 and 214,980.10 is: 322,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,460.10 : 575,449.35 = 214,980.10 : x
  2. Step 2: Convert to fraction form
    383,460.10/575,449.35 = 214,980.10/x
  3. Step 3: Cross multiply
    383,460.10x = 575,449.35 × 214,980.10
  4. Step 4: Simplify right side
    383,460.10x = 123,710,158,807.94
  5. Step 5: Solve for x
    x = 123,710,158,807.94/383,460.10
  6. Step 6: Final answer
    x = 322,615.47

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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.