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Finding the Fourth Proportional to 722,004, 996,439.16 and 416,091.28

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Solution

The fourth proportional to 722,004, 996,439.16 and 416,091.28 is: 574,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,004 : 996,439.16 = 416,091.28 : x
  2. Step 2: Convert to fraction form
    722,004/996,439.16 = 416,091.28/x
  3. Step 3: Cross multiply
    722,004x = 996,439.16 × 416,091.28
  4. Step 4: Simplify right side
    722,004x = 414,609,645,526.53
  5. Step 5: Solve for x
    x = 414,609,645,526.53/722,004
  6. Step 6: Final answer
    x = 574,248.41

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1.5x scale

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.