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Finding the Fourth Proportional to 522,264.42, 783,746.55 and 335,407.14

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Solution

The fourth proportional to 522,264.42, 783,746.55 and 335,407.14 is: 503,335.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,264.42 : 783,746.55 = 335,407.14 : x
  2. Step 2: Convert to fraction form
    522,264.42/783,746.55 = 335,407.14/x
  3. Step 3: Cross multiply
    522,264.42x = 783,746.55 × 335,407.14
  4. Step 4: Simplify right side
    522,264.42x = 262,874,188,820.37
  5. Step 5: Solve for x
    x = 262,874,188,820.37/522,264.42
  6. Step 6: Final answer
    x = 503,335.43

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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.