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Finding the Fourth Proportional to 292,274.10, 438,411.15 and 114,722.10

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Solution

The fourth proportional to 292,274.10, 438,411.15 and 114,722.10 is: 172,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,274.10 : 438,411.15 = 114,722.10 : x
  2. Step 2: Convert to fraction form
    292,274.10/438,411.15 = 114,722.10/x
  3. Step 3: Cross multiply
    292,274.10x = 438,411.15 × 114,722.10
  4. Step 4: Simplify right side
    292,274.10x = 50,295,447,791.42
  5. Step 5: Solve for x
    x = 50,295,447,791.42/292,274.10
  6. Step 6: Final answer
    x = 172,083.15

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1.5x scale

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.