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Finding the Fourth Proportional to 413,538.80, 570,807.30 and 241,503.17

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Solution

The fourth proportional to 413,538.80, 570,807.30 and 241,503.17 is: 333,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,538.80 : 570,807.30 = 241,503.17 : x
  2. Step 2: Convert to fraction form
    413,538.80/570,807.30 = 241,503.17/x
  3. Step 3: Cross multiply
    413,538.80x = 570,807.30 × 241,503.17
  4. Step 4: Simplify right side
    413,538.80x = 137,851,772,409.14
  5. Step 5: Solve for x
    x = 137,851,772,409.14/413,538.80
  6. Step 6: Final answer
    x = 333,346.65

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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.