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Finding the Fourth Proportional to 407,094.31, 610,643.03 and 170,270.86

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Solution

The fourth proportional to 407,094.31, 610,643.03 and 170,270.86 is: 255,406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,094.31 : 610,643.03 = 170,270.86 : x
  2. Step 2: Convert to fraction form
    407,094.31/610,643.03 = 170,270.86/x
  3. Step 3: Cross multiply
    407,094.31x = 610,643.03 × 170,270.86
  4. Step 4: Simplify right side
    407,094.31x = 103,974,713,871.11
  5. Step 5: Solve for x
    x = 103,974,713,871.11/407,094.31
  6. Step 6: Final answer
    x = 255,406.94

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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.