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Finding the Fourth Proportional to 601,424.64, 829,965.69 and 359,707.20

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Solution

The fourth proportional to 601,424.64, 829,965.69 and 359,707.20 is: 496,395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,424.64 : 829,965.69 = 359,707.20 : x
  2. Step 2: Convert to fraction form
    601,424.64/829,965.69 = 359,707.20/x
  3. Step 3: Cross multiply
    601,424.64x = 829,965.69 × 359,707.20
  4. Step 4: Simplify right side
    601,424.64x = 298,544,634,445.97
  5. Step 5: Solve for x
    x = 298,544,634,445.97/601,424.64
  6. Step 6: Final answer
    x = 496,395.75

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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.