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Finding the Fourth Proportional to 341,206.40, 512,230.80 and 214,846.40

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Solution

The fourth proportional to 341,206.40, 512,230.80 and 214,846.40 is: 322,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,206.40 : 512,230.80 = 214,846.40 : x
  2. Step 2: Convert to fraction form
    341,206.40/512,230.80 = 214,846.40/x
  3. Step 3: Cross multiply
    341,206.40x = 512,230.80 × 214,846.40
  4. Step 4: Simplify right side
    341,206.40x = 110,050,943,349.12
  5. Step 5: Solve for x
    x = 110,050,943,349.12/341,206.40
  6. Step 6: Final answer
    x = 322,534.82

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1.5x scale

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.