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Finding the Fourth Proportional to 315,804.12, 473,648.10 and 138,278.04

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Solution

The fourth proportional to 315,804.12, 473,648.10 and 138,278.04 is: 207,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,804.12 : 473,648.10 = 138,278.04 : x
  2. Step 2: Convert to fraction form
    315,804.12/473,648.10 = 138,278.04/x
  3. Step 3: Cross multiply
    315,804.12x = 473,648.10 × 138,278.04
  4. Step 4: Simplify right side
    315,804.12x = 65,495,130,917.72
  5. Step 5: Solve for x
    x = 65,495,130,917.72/315,804.12
  6. Step 6: Final answer
    x = 207,391.63

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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.