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Finding the Fourth Proportional to 722,096.48, 996,503.68 and 416,004

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Solution

The fourth proportional to 722,096.48, 996,503.68 and 416,004 is: 574,091.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,096.48 : 996,503.68 = 416,004 : x
  2. Step 2: Convert to fraction form
    722,096.48/996,503.68 = 416,004/x
  3. Step 3: Cross multiply
    722,096.48x = 996,503.68 × 416,004
  4. Step 4: Simplify right side
    722,096.48x = 414,549,516,894.72
  5. Step 5: Solve for x
    x = 414,549,516,894.72/722,096.48
  6. Step 6: Final answer
    x = 574,091.59

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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.