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Finding the Fourth Proportional to 469,650.48, 702,874.08 and 298,785.84

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Solution

The fourth proportional to 469,650.48, 702,874.08 and 298,785.84 is: 447,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,650.48 : 702,874.08 = 298,785.84 : x
  2. Step 2: Convert to fraction form
    469,650.48/702,874.08 = 298,785.84/x
  3. Step 3: Cross multiply
    469,650.48x = 702,874.08 × 298,785.84
  4. Step 4: Simplify right side
    469,650.48x = 210,008,822,407.03
  5. Step 5: Solve for x
    x = 210,008,822,407.03/469,650.48
  6. Step 6: Final answer
    x = 447,159.82

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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.