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Finding the Fourth Proportional to 308,774.40, 463,445.76 and 159,117.84

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Solution

The fourth proportional to 308,774.40, 463,445.76 and 159,117.84 is: 238,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,774.40 : 463,445.76 = 159,117.84 : x
  2. Step 2: Convert to fraction form
    308,774.40/463,445.76 = 159,117.84/x
  3. Step 3: Cross multiply
    308,774.40x = 463,445.76 × 159,117.84
  4. Step 4: Simplify right side
    308,774.40x = 73,742,488,288.36
  5. Step 5: Solve for x
    x = 73,742,488,288.36/308,774.40
  6. Step 6: Final answer
    x = 238,823.19

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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.