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Finding the Fourth Proportional to 294,853.50, 406,898.01 and 160,717.50

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Solution

The fourth proportional to 294,853.50, 406,898.01 and 160,717.50 is: 221,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,853.50 : 406,898.01 = 160,717.50 : x
  2. Step 2: Convert to fraction form
    294,853.50/406,898.01 = 160,717.50/x
  3. Step 3: Cross multiply
    294,853.50x = 406,898.01 × 160,717.50
  4. Step 4: Simplify right side
    294,853.50x = 65,395,630,922.18
  5. Step 5: Solve for x
    x = 65,395,630,922.18/294,853.50
  6. Step 6: Final answer
    x = 221,790.25

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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.