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Finding the Fourth Proportional to 412,667.10, 619,000.65 and 341,808.30

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Solution

The fourth proportional to 412,667.10, 619,000.65 and 341,808.30 is: 512,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,667.10 : 619,000.65 = 341,808.30 : x
  2. Step 2: Convert to fraction form
    412,667.10/619,000.65 = 341,808.30/x
  3. Step 3: Cross multiply
    412,667.10x = 619,000.65 × 341,808.30
  4. Step 4: Simplify right side
    412,667.10x = 211,579,559,875.40
  5. Step 5: Solve for x
    x = 211,579,559,875.40/412,667.10
  6. Step 6: Final answer
    x = 512,712.45

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Similar ratio
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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.