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Finding the Fourth Proportional to 517,804.41, 714,425.70 and 333,965.19

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Solution

The fourth proportional to 517,804.41, 714,425.70 and 333,965.19 is: 460,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,804.41 : 714,425.70 = 333,965.19 : x
  2. Step 2: Convert to fraction form
    517,804.41/714,425.70 = 333,965.19/x
  3. Step 3: Cross multiply
    517,804.41x = 714,425.70 × 333,965.19
  4. Step 4: Simplify right side
    517,804.41x = 238,593,314,641.38
  5. Step 5: Solve for x
    x = 238,593,314,641.38/517,804.41
  6. Step 6: Final answer
    x = 460,778.84

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Why These Related Problems?

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