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Finding the Fourth Proportional to 405,740.10, 608,610.15 and 110,252.10

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Solution

The fourth proportional to 405,740.10, 608,610.15 and 110,252.10 is: 165,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,740.10 : 608,610.15 = 110,252.10 : x
  2. Step 2: Convert to fraction form
    405,740.10/608,610.15 = 110,252.10/x
  3. Step 3: Cross multiply
    405,740.10x = 608,610.15 × 110,252.10
  4. Step 4: Simplify right side
    405,740.10x = 67,100,547,118.82
  5. Step 5: Solve for x
    x = 67,100,547,118.82/405,740.10
  6. Step 6: Final answer
    x = 165,378.15

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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.