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Finding the Fourth Proportional to 294,109.47, 440,949.15 and 94,316.13

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Solution

The fourth proportional to 294,109.47, 440,949.15 and 94,316.13 is: 141,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,109.47 : 440,949.15 = 94,316.13 : x
  2. Step 2: Convert to fraction form
    294,109.47/440,949.15 = 94,316.13/x
  3. Step 3: Cross multiply
    294,109.47x = 440,949.15 × 94,316.13
  4. Step 4: Simplify right side
    294,109.47x = 41,588,617,354.79
  5. Step 5: Solve for x
    x = 41,588,617,354.79/294,109.47
  6. Step 6: Final answer
    x = 141,405.23

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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.