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Finding the Fourth Proportional to 533,488.08, 736,480.98 and 412,355.64

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Solution

The fourth proportional to 533,488.08, 736,480.98 and 412,355.64 is: 569,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,488.08 : 736,480.98 = 412,355.64 : x
  2. Step 2: Convert to fraction form
    533,488.08/736,480.98 = 412,355.64/x
  3. Step 3: Cross multiply
    533,488.08x = 736,480.98 × 412,355.64
  4. Step 4: Simplify right side
    533,488.08x = 303,692,085,855.73
  5. Step 5: Solve for x
    x = 303,692,085,855.73/533,488.08
  6. Step 6: Final answer
    x = 569,257.49

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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.