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Finding the Fourth Proportional to 506,798.26, 699,077.52 and 334,716.57

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Solution

The fourth proportional to 506,798.26, 699,077.52 and 334,716.57 is: 461,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,798.26 : 699,077.52 = 334,716.57 : x
  2. Step 2: Convert to fraction form
    506,798.26/699,077.52 = 334,716.57/x
  3. Step 3: Cross multiply
    506,798.26x = 699,077.52 × 334,716.57
  4. Step 4: Simplify right side
    506,798.26x = 233,992,829,658.51
  5. Step 5: Solve for x
    x = 233,992,829,658.51/506,798.26
  6. Step 6: Final answer
    x = 461,708.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.