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Finding the Fourth Proportional to 314,103.84, 433,424.08 and 212,350.72

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Solution

The fourth proportional to 314,103.84, 433,424.08 and 212,350.72 is: 293,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,103.84 : 433,424.08 = 212,350.72 : x
  2. Step 2: Convert to fraction form
    314,103.84/433,424.08 = 212,350.72/x
  3. Step 3: Cross multiply
    314,103.84x = 433,424.08 × 212,350.72
  4. Step 4: Simplify right side
    314,103.84x = 92,037,915,453.34
  5. Step 5: Solve for x
    x = 92,037,915,453.34/314,103.84
  6. Step 6: Final answer
    x = 293,017.48

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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.