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Finding the Fourth Proportional to 504,091.95, 695,641.39 and 289,265.64

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Solution

The fourth proportional to 504,091.95, 695,641.39 and 289,265.64 is: 399,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,091.95 : 695,641.39 = 289,265.64 : x
  2. Step 2: Convert to fraction form
    504,091.95/695,641.39 = 289,265.64/x
  3. Step 3: Cross multiply
    504,091.95x = 695,641.39 × 289,265.64
  4. Step 4: Simplify right side
    504,091.95x = 201,225,151,888.84
  5. Step 5: Solve for x
    x = 201,225,151,888.84/504,091.95
  6. Step 6: Final answer
    x = 399,183.43

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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.