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Finding the Fourth Proportional to 413,730.14, 620,582.81 and 114,229

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Solution

The fourth proportional to 413,730.14, 620,582.81 and 114,229 is: 171,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,730.14 : 620,582.81 = 114,229 : x
  2. Step 2: Convert to fraction form
    413,730.14/620,582.81 = 114,229/x
  3. Step 3: Cross multiply
    413,730.14x = 620,582.81 × 114,229
  4. Step 4: Simplify right side
    413,730.14x = 70,888,553,803.49
  5. Step 5: Solve for x
    x = 70,888,553,803.49/413,730.14
  6. Step 6: Final answer
    x = 171,340.08

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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.