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Finding the Fourth Proportional to 338,886.30, 508,263.84 and 114,223.08

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Solution

The fourth proportional to 338,886.30, 508,263.84 and 114,223.08 is: 171,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,886.30 : 508,263.84 = 114,223.08 : x
  2. Step 2: Convert to fraction form
    338,886.30/508,263.84 = 114,223.08/x
  3. Step 3: Cross multiply
    338,886.30x = 508,263.84 × 114,223.08
  4. Step 4: Simplify right side
    338,886.30x = 58,055,461,257.43
  5. Step 5: Solve for x
    x = 58,055,461,257.43/338,886.30
  6. Step 6: Final answer
    x = 171,312.51

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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.