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Finding the Fourth Proportional to 335,508.21, 462,987.47 and 182,547

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Solution

The fourth proportional to 335,508.21, 462,987.47 and 182,547 is: 251,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,508.21 : 462,987.47 = 182,547 : x
  2. Step 2: Convert to fraction form
    335,508.21/462,987.47 = 182,547/x
  3. Step 3: Cross multiply
    335,508.21x = 462,987.47 × 182,547
  4. Step 4: Simplify right side
    335,508.21x = 84,516,974,142.46
  5. Step 5: Solve for x
    x = 84,516,974,142.46/335,508.21
  6. Step 6: Final answer
    x = 251,907.32

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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.