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Finding the Fourth Proportional to 340,363, 510,484.32 and 127,083.04

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Solution

The fourth proportional to 340,363, 510,484.32 and 127,083.04 is: 190,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,363 : 510,484.32 = 127,083.04 : x
  2. Step 2: Convert to fraction form
    340,363/510,484.32 = 127,083.04/x
  3. Step 3: Cross multiply
    340,363x = 510,484.32 × 127,083.04
  4. Step 4: Simplify right side
    340,363x = 64,873,899,257.93
  5. Step 5: Solve for x
    x = 64,873,899,257.93/340,363
  6. Step 6: Final answer
    x = 190,602.09

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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.