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Finding the Fourth Proportional to 826,510, 1,140,492.54 and 463,850.68

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Solution

The fourth proportional to 826,510, 1,140,492.54 and 463,850.68 is: 640,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,510 : 1,140,492.54 = 463,850.68 : x
  2. Step 2: Convert to fraction form
    826,510/1,140,492.54 = 463,850.68/x
  3. Step 3: Cross multiply
    826,510x = 1,140,492.54 × 463,850.68
  4. Step 4: Simplify right side
    826,510x = 529,018,240,213.93
  5. Step 5: Solve for x
    x = 529,018,240,213.93/826,510
  6. Step 6: Final answer
    x = 640,062.72

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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.