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Finding the Fourth Proportional to 398,024.98, 549,266.58 and 216,739.06

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Solution

The fourth proportional to 398,024.98, 549,266.58 and 216,739.06 is: 299,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,024.98 : 549,266.58 = 216,739.06 : x
  2. Step 2: Convert to fraction form
    398,024.98/549,266.58 = 216,739.06/x
  3. Step 3: Cross multiply
    398,024.98x = 549,266.58 × 216,739.06
  4. Step 4: Simplify right side
    398,024.98x = 119,047,522,238.62
  5. Step 5: Solve for x
    x = 119,047,522,238.62/398,024.98
  6. Step 6: Final answer
    x = 299,095.61

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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.