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Finding the Fourth Proportional to 511,798.57, 706,053.65 and 296,814.04

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Solution

The fourth proportional to 511,798.57, 706,053.65 and 296,814.04 is: 409,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,798.57 : 706,053.65 = 296,814.04 : x
  2. Step 2: Convert to fraction form
    511,798.57/706,053.65 = 296,814.04/x
  3. Step 3: Cross multiply
    511,798.57x = 706,053.65 × 296,814.04
  4. Step 4: Simplify right side
    511,798.57x = 209,566,633,064.04
  5. Step 5: Solve for x
    x = 209,566,633,064.04/511,798.57
  6. Step 6: Final answer
    x = 409,470.93

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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.