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Finding the Fourth Proportional to 345,294.32, 517,941.47 and 325,802.48

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Solution

The fourth proportional to 345,294.32, 517,941.47 and 325,802.48 is: 488,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,294.32 : 517,941.47 = 325,802.48 : x
  2. Step 2: Convert to fraction form
    345,294.32/517,941.47 = 325,802.48/x
  3. Step 3: Cross multiply
    345,294.32x = 517,941.47 × 325,802.48
  4. Step 4: Simplify right side
    345,294.32x = 168,746,613,645.64
  5. Step 5: Solve for x
    x = 168,746,613,645.64/345,294.32
  6. Step 6: Final answer
    x = 488,703.71

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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.