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Finding the Fourth Proportional to 314,101.22, 433,487.80 and 185,040.88

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Solution

The fourth proportional to 314,101.22, 433,487.80 and 185,040.88 is: 255,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,101.22 : 433,487.80 = 185,040.88 : x
  2. Step 2: Convert to fraction form
    314,101.22/433,487.80 = 185,040.88/x
  3. Step 3: Cross multiply
    314,101.22x = 433,487.80 × 185,040.88
  4. Step 4: Simplify right side
    314,101.22x = 80,212,963,981.26
  5. Step 5: Solve for x
    x = 80,212,963,981.26/314,101.22
  6. Step 6: Final answer
    x = 255,372.98

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1.5x scale

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.