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Finding the Fourth Proportional to 509,952.04, 703,199.49 and 380,683.17

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Solution

The fourth proportional to 509,952.04, 703,199.49 and 380,683.17 is: 524,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,952.04 : 703,199.49 = 380,683.17 : x
  2. Step 2: Convert to fraction form
    509,952.04/703,199.49 = 380,683.17/x
  3. Step 3: Cross multiply
    509,952.04x = 703,199.49 × 380,683.17
  4. Step 4: Simplify right side
    509,952.04x = 267,696,210,995.58
  5. Step 5: Solve for x
    x = 267,696,210,995.58/509,952.04
  6. Step 6: Final answer
    x = 524,943.90

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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.