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Finding the Fourth Proportional to 398,528.23, 549,968.38 and 217,240.51

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Solution

The fourth proportional to 398,528.23, 549,968.38 and 217,240.51 is: 299,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,528.23 : 549,968.38 = 217,240.51 : x
  2. Step 2: Convert to fraction form
    398,528.23/549,968.38 = 217,240.51/x
  3. Step 3: Cross multiply
    398,528.23x = 549,968.38 × 217,240.51
  4. Step 4: Simplify right side
    398,528.23x = 119,475,411,355.07
  5. Step 5: Solve for x
    x = 119,475,411,355.07/398,528.23
  6. Step 6: Final answer
    x = 299,791.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.