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Finding the Fourth Proportional to 335,564.40, 502,034.40 and 217,466.40

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Solution

The fourth proportional to 335,564.40, 502,034.40 and 217,466.40 is: 325,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,564.40 : 502,034.40 = 217,466.40 : x
  2. Step 2: Convert to fraction form
    335,564.40/502,034.40 = 217,466.40/x
  3. Step 3: Cross multiply
    335,564.40x = 502,034.40 × 217,466.40
  4. Step 4: Simplify right side
    335,564.40x = 109,175,613,644.16
  5. Step 5: Solve for x
    x = 109,175,613,644.16/335,564.40
  6. Step 6: Final answer
    x = 325,349.21

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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.