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Finding the Fourth Proportional to 564,423.45, 846,602.21 and 412,774.13

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Solution

The fourth proportional to 564,423.45, 846,602.21 and 412,774.13 is: 619,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,423.45 : 846,602.21 = 412,774.13 : x
  2. Step 2: Convert to fraction form
    564,423.45/846,602.21 = 412,774.13/x
  3. Step 3: Cross multiply
    564,423.45x = 846,602.21 × 412,774.13
  4. Step 4: Simplify right side
    564,423.45x = 349,455,488,624.96
  5. Step 5: Solve for x
    x = 349,455,488,624.96/564,423.45
  6. Step 6: Final answer
    x = 619,137.09

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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.