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Finding the Fourth Proportional to 517,275, 713,839.50 and 290,925.36

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Solution

The fourth proportional to 517,275, 713,839.50 and 290,925.36 is: 401,477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,275 : 713,839.50 = 290,925.36 : x
  2. Step 2: Convert to fraction form
    517,275/713,839.50 = 290,925.36/x
  3. Step 3: Cross multiply
    517,275x = 713,839.50 × 290,925.36
  4. Step 4: Simplify right side
    517,275x = 207,674,013,519.72
  5. Step 5: Solve for x
    x = 207,674,013,519.72/517,275
  6. Step 6: Final answer
    x = 401,477.00

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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.