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Finding the Fourth Proportional to 613,417.91, 847,225.23 and 409,113.86

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Solution

The fourth proportional to 613,417.91, 847,225.23 and 409,113.86 is: 565,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,417.91 : 847,225.23 = 409,113.86 : x
  2. Step 2: Convert to fraction form
    613,417.91/847,225.23 = 409,113.86/x
  3. Step 3: Cross multiply
    613,417.91x = 847,225.23 × 409,113.86
  4. Step 4: Simplify right side
    613,417.91x = 346,611,584,134.69
  5. Step 5: Solve for x
    x = 346,611,584,134.69/613,417.91
  6. Step 6: Final answer
    x = 565,049.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.