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Finding the Fourth Proportional to 401,862.40, 602,894.40 and 177,265.60

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Solution

The fourth proportional to 401,862.40, 602,894.40 and 177,265.60 is: 265,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,862.40 : 602,894.40 = 177,265.60 : x
  2. Step 2: Convert to fraction form
    401,862.40/602,894.40 = 177,265.60/x
  3. Step 3: Cross multiply
    401,862.40x = 602,894.40 × 177,265.60
  4. Step 4: Simplify right side
    401,862.40x = 106,872,437,552.64
  5. Step 5: Solve for x
    x = 106,872,437,552.64/401,862.40
  6. Step 6: Final answer
    x = 265,942.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.