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Finding the Fourth Proportional to 445,221.45, 614,498.42 and 409,354.65

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Solution

The fourth proportional to 445,221.45, 614,498.42 and 409,354.65 is: 564,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,221.45 : 614,498.42 = 409,354.65 : x
  2. Step 2: Convert to fraction form
    445,221.45/614,498.42 = 409,354.65/x
  3. Step 3: Cross multiply
    445,221.45x = 614,498.42 × 409,354.65
  4. Step 4: Simplify right side
    445,221.45x = 251,547,783,597.88
  5. Step 5: Solve for x
    x = 251,547,783,597.88/445,221.45
  6. Step 6: Final answer
    x = 564,994.75

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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.