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Finding the Fourth Proportional to 294,957.78, 407,028.78 and 165,907.02

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Solution

The fourth proportional to 294,957.78, 407,028.78 and 165,907.02 is: 228,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,957.78 : 407,028.78 = 165,907.02 : x
  2. Step 2: Convert to fraction form
    294,957.78/407,028.78 = 165,907.02/x
  3. Step 3: Cross multiply
    294,957.78x = 407,028.78 × 165,907.02
  4. Step 4: Simplify right side
    294,957.78x = 67,528,931,944.04
  5. Step 5: Solve for x
    x = 67,528,931,944.04/294,957.78
  6. Step 6: Final answer
    x = 228,944.40

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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.