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Finding the Fourth Proportional to 511,792.22, 706,044.82 and 296,807.68

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Solution

The fourth proportional to 511,792.22, 706,044.82 and 296,807.68 is: 409,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,792.22 : 706,044.82 = 296,807.68 : x
  2. Step 2: Convert to fraction form
    511,792.22/706,044.82 = 296,807.68/x
  3. Step 3: Cross multiply
    511,792.22x = 706,044.82 × 296,807.68
  4. Step 4: Simplify right side
    511,792.22x = 209,559,525,000.22
  5. Step 5: Solve for x
    x = 209,559,525,000.22/511,792.22
  6. Step 6: Final answer
    x = 409,462.12

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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.