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Finding the Fourth Proportional to 442,946.96, 611,258.28 and 241,744.40

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Solution

The fourth proportional to 442,946.96, 611,258.28 and 241,744.40 is: 333,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,946.96 : 611,258.28 = 241,744.40 : x
  2. Step 2: Convert to fraction form
    442,946.96/611,258.28 = 241,744.40/x
  3. Step 3: Cross multiply
    442,946.96x = 611,258.28 × 241,744.40
  4. Step 4: Simplify right side
    442,946.96x = 147,768,266,143.63
  5. Step 5: Solve for x
    x = 147,768,266,143.63/442,946.96
  6. Step 6: Final answer
    x = 333,602.62

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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.