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Finding the Fourth Proportional to 296,088.40, 408,606.11 and 167,032.84

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Solution

The fourth proportional to 296,088.40, 408,606.11 and 167,032.84 is: 230,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,088.40 : 408,606.11 = 167,032.84 : x
  2. Step 2: Convert to fraction form
    296,088.40/408,606.11 = 167,032.84/x
  3. Step 3: Cross multiply
    296,088.40x = 408,606.11 × 167,032.84
  4. Step 4: Simplify right side
    296,088.40x = 68,250,638,994.65
  5. Step 5: Solve for x
    x = 68,250,638,994.65/296,088.40
  6. Step 6: Final answer
    x = 230,507.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.