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Finding the Fourth Proportional to 340,340.94, 510,451.27 and 127,061.06

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Solution

The fourth proportional to 340,340.94, 510,451.27 and 127,061.06 is: 190,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,340.94 : 510,451.27 = 127,061.06 : x
  2. Step 2: Convert to fraction form
    340,340.94/510,451.27 = 127,061.06/x
  3. Step 3: Cross multiply
    340,340.94x = 510,451.27 × 127,061.06
  4. Step 4: Simplify right side
    340,340.94x = 64,858,476,574.64
  5. Step 5: Solve for x
    x = 64,858,476,574.64/340,340.94
  6. Step 6: Final answer
    x = 190,569.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.