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Finding the Fourth Proportional to 287,598.60, 431,033.40 and 109,868.40

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Solution

The fourth proportional to 287,598.60, 431,033.40 and 109,868.40 is: 164,663.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,598.60 : 431,033.40 = 109,868.40 : x
  2. Step 2: Convert to fraction form
    287,598.60/431,033.40 = 109,868.40/x
  3. Step 3: Cross multiply
    287,598.60x = 431,033.40 × 109,868.40
  4. Step 4: Simplify right side
    287,598.60x = 47,356,950,004.56
  5. Step 5: Solve for x
    x = 47,356,950,004.56/287,598.60
  6. Step 6: Final answer
    x = 164,663.35

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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.