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Finding the Fourth Proportional to 209,417.67, 314,122.41 and 59,658.93

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Solution

The fourth proportional to 209,417.67, 314,122.41 and 59,658.93 is: 89,487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,417.67 : 314,122.41 = 59,658.93 : x
  2. Step 2: Convert to fraction form
    209,417.67/314,122.41 = 59,658.93/x
  3. Step 3: Cross multiply
    209,417.67x = 314,122.41 × 59,658.93
  4. Step 4: Simplify right side
    209,417.67x = 18,740,206,869.62
  5. Step 5: Solve for x
    x = 18,740,206,869.62/209,417.67
  6. Step 6: Final answer
    x = 89,487.23

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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.