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Finding the Fourth Proportional to 473,198.75, 709,448.20 and 286,168.67

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Solution

The fourth proportional to 473,198.75, 709,448.20 and 286,168.67 is: 429,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,198.75 : 709,448.20 = 286,168.67 : x
  2. Step 2: Convert to fraction form
    473,198.75/709,448.20 = 286,168.67/x
  3. Step 3: Cross multiply
    473,198.75x = 709,448.20 × 286,168.67
  4. Step 4: Simplify right side
    473,198.75x = 203,021,847,827.89
  5. Step 5: Solve for x
    x = 203,021,847,827.89/473,198.75
  6. Step 6: Final answer
    x = 429,041.39

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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.