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Finding the Fourth Proportional to 298,430.73, 411,830.33 and 162,465.85

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Solution

The fourth proportional to 298,430.73, 411,830.33 and 162,465.85 is: 224,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,430.73 : 411,830.33 = 162,465.85 : x
  2. Step 2: Convert to fraction form
    298,430.73/411,830.33 = 162,465.85/x
  3. Step 3: Cross multiply
    298,430.73x = 411,830.33 × 162,465.85
  4. Step 4: Simplify right side
    298,430.73x = 66,908,364,321.69
  5. Step 5: Solve for x
    x = 66,908,364,321.69/298,430.73
  6. Step 6: Final answer
    x = 224,200.65

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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.