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Finding the Fourth Proportional to 514,328.24, 771,615.48 and 214,642.16

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Solution

The fourth proportional to 514,328.24, 771,615.48 and 214,642.16 is: 322,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,328.24 : 771,615.48 = 214,642.16 : x
  2. Step 2: Convert to fraction form
    514,328.24/771,615.48 = 214,642.16/x
  3. Step 3: Cross multiply
    514,328.24x = 771,615.48 × 214,642.16
  4. Step 4: Simplify right side
    514,328.24x = 165,621,213,316.64
  5. Step 5: Solve for x
    x = 165,621,213,316.64/514,328.24
  6. Step 6: Final answer
    x = 322,014.62

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Why These Related Problems?

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