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Finding the Fourth Proportional to 407,712.30, 609,600.15 and 301,424.10

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Solution

The fourth proportional to 407,712.30, 609,600.15 and 301,424.10 is: 450,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,712.30 : 609,600.15 = 301,424.10 : x
  2. Step 2: Convert to fraction form
    407,712.30/609,600.15 = 301,424.10/x
  3. Step 3: Cross multiply
    407,712.30x = 609,600.15 × 301,424.10
  4. Step 4: Simplify right side
    407,712.30x = 183,748,176,573.62
  5. Step 5: Solve for x
    x = 183,748,176,573.62/407,712.30
  6. Step 6: Final answer
    x = 450,680.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.