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Finding the Fourth Proportional to 517,866.12, 714,559.86 and 291,463.56

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Solution

The fourth proportional to 517,866.12, 714,559.86 and 291,463.56 is: 402,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,866.12 : 714,559.86 = 291,463.56 : x
  2. Step 2: Convert to fraction form
    517,866.12/714,559.86 = 291,463.56/x
  3. Step 3: Cross multiply
    517,866.12x = 714,559.86 × 291,463.56
  4. Step 4: Simplify right side
    517,866.12x = 208,268,160,628.70
  5. Step 5: Solve for x
    x = 208,268,160,628.70/517,866.12
  6. Step 6: Final answer
    x = 402,166.03

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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.