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Finding the Fourth Proportional to 346,604.40, 519,802.92 and 180,301.68

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Solution

The fourth proportional to 346,604.40, 519,802.92 and 180,301.68 is: 270,398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,604.40 : 519,802.92 = 180,301.68 : x
  2. Step 2: Convert to fraction form
    346,604.40/519,802.92 = 180,301.68/x
  3. Step 3: Cross multiply
    346,604.40x = 519,802.92 × 180,301.68
  4. Step 4: Simplify right side
    346,604.40x = 93,721,339,744.91
  5. Step 5: Solve for x
    x = 93,721,339,744.91/346,604.40
  6. Step 6: Final answer
    x = 270,398.59

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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.