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Finding the Fourth Proportional to 517,463.69, 714,098.75 and 291,109.19

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Solution

The fourth proportional to 517,463.69, 714,098.75 and 291,109.19 is: 401,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,463.69 : 714,098.75 = 291,109.19 : x
  2. Step 2: Convert to fraction form
    517,463.69/714,098.75 = 291,109.19/x
  3. Step 3: Cross multiply
    517,463.69x = 714,098.75 × 291,109.19
  4. Step 4: Simplify right side
    517,463.69x = 207,880,703,666.47
  5. Step 5: Solve for x
    x = 207,880,703,666.47/517,463.69
  6. Step 6: Final answer
    x = 401,730.03

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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.