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Finding the Fourth Proportional to 407,363.31, 610,899.15 and 141,052.32

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Solution

The fourth proportional to 407,363.31, 610,899.15 and 141,052.32 is: 211,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,363.31 : 610,899.15 = 141,052.32 : x
  2. Step 2: Convert to fraction form
    407,363.31/610,899.15 = 141,052.32/x
  3. Step 3: Cross multiply
    407,363.31x = 610,899.15 × 141,052.32
  4. Step 4: Simplify right side
    407,363.31x = 86,168,742,393.53
  5. Step 5: Solve for x
    x = 86,168,742,393.53/407,363.31
  6. Step 6: Final answer
    x = 211,527.99

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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.