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Finding the Fourth Proportional to 407,355.06, 610,886.79 and 141,044.10

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Solution

The fourth proportional to 407,355.06, 610,886.79 and 141,044.10 is: 211,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,355.06 : 610,886.79 = 141,044.10 : x
  2. Step 2: Convert to fraction form
    407,355.06/610,886.79 = 141,044.10/x
  3. Step 3: Cross multiply
    407,355.06x = 610,886.79 × 141,044.10
  4. Step 4: Simplify right side
    407,355.06x = 86,161,977,497.44
  5. Step 5: Solve for x
    x = 86,161,977,497.44/407,355.06
  6. Step 6: Final answer
    x = 211,515.67

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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.