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Finding the Fourth Proportional to 314,408.34, 433,940.10 and 185,339.12

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Solution

The fourth proportional to 314,408.34, 433,940.10 and 185,339.12 is: 255,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,408.34 : 433,940.10 = 185,339.12 : x
  2. Step 2: Convert to fraction form
    314,408.34/433,940.10 = 185,339.12/x
  3. Step 3: Cross multiply
    314,408.34x = 433,940.10 × 185,339.12
  4. Step 4: Simplify right side
    314,408.34x = 80,426,074,097.01
  5. Step 5: Solve for x
    x = 80,426,074,097.01/314,408.34
  6. Step 6: Final answer
    x = 255,801.34

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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.