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Finding the Fourth Proportional to 601,212.26, 829,822.65 and 346,716.74

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Solution

The fourth proportional to 601,212.26, 829,822.65 and 346,716.74 is: 478,555.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,212.26 : 829,822.65 = 346,716.74 : x
  2. Step 2: Convert to fraction form
    601,212.26/829,822.65 = 346,716.74/x
  3. Step 3: Cross multiply
    601,212.26x = 829,822.65 × 346,716.74
  4. Step 4: Simplify right side
    601,212.26x = 287,713,403,986.16
  5. Step 5: Solve for x
    x = 287,713,403,986.16/601,212.26
  6. Step 6: Final answer
    x = 478,555.45

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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.