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Finding the Fourth Proportional to 673,143, 1,009,706.76 and 193,382.64

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Solution

The fourth proportional to 673,143, 1,009,706.76 and 193,382.64 is: 290,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,143 : 1,009,706.76 = 193,382.64 : x
  2. Step 2: Convert to fraction form
    673,143/1,009,706.76 = 193,382.64/x
  3. Step 3: Cross multiply
    673,143x = 1,009,706.76 × 193,382.64
  4. Step 4: Simplify right side
    673,143x = 195,259,758,874.65
  5. Step 5: Solve for x
    x = 195,259,758,874.65/673,143
  6. Step 6: Final answer
    x = 290,071.74

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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.