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Finding the Fourth Proportional to 702,290.96, 969,158.41 and 380,006.74

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Solution

The fourth proportional to 702,290.96, 969,158.41 and 380,006.74 is: 524,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,290.96 : 969,158.41 = 380,006.74 : x
  2. Step 2: Convert to fraction form
    702,290.96/969,158.41 = 380,006.74/x
  3. Step 3: Cross multiply
    702,290.96x = 969,158.41 × 380,006.74
  4. Step 4: Simplify right side
    702,290.96x = 368,286,724,554.77
  5. Step 5: Solve for x
    x = 368,286,724,554.77/702,290.96
  6. Step 6: Final answer
    x = 524,407.61

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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.