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Finding the Fourth Proportional to 511,833.17, 706,220.28 and 294,068.51

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Solution

The fourth proportional to 511,833.17, 706,220.28 and 294,068.51 is: 405,751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,833.17 : 706,220.28 = 294,068.51 : x
  2. Step 2: Convert to fraction form
    511,833.17/706,220.28 = 294,068.51/x
  3. Step 3: Cross multiply
    511,833.17x = 706,220.28 × 294,068.51
  4. Step 4: Simplify right side
    511,833.17x = 207,677,145,471.38
  5. Step 5: Solve for x
    x = 207,677,145,471.38/511,833.17
  6. Step 6: Final answer
    x = 405,751.63

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1.5x scale

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.