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Finding the Fourth Proportional to 314,305.63, 433,750.98 and 171,074.95

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Solution

The fourth proportional to 314,305.63, 433,750.98 and 171,074.95 is: 236,088.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,305.63 : 433,750.98 = 171,074.95 : x
  2. Step 2: Convert to fraction form
    314,305.63/433,750.98 = 171,074.95/x
  3. Step 3: Cross multiply
    314,305.63x = 433,750.98 × 171,074.95
  4. Step 4: Simplify right side
    314,305.63x = 74,203,927,215.95
  5. Step 5: Solve for x
    x = 74,203,927,215.95/314,305.63
  6. Step 6: Final answer
    x = 236,088.44

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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.