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Finding the Fourth Proportional to 315,767.52, 473,475.60 and 105,290.64

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Solution

The fourth proportional to 315,767.52, 473,475.60 and 105,290.64 is: 157,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,767.52 : 473,475.60 = 105,290.64 : x
  2. Step 2: Convert to fraction form
    315,767.52/473,475.60 = 105,290.64/x
  3. Step 3: Cross multiply
    315,767.52x = 473,475.60 × 105,290.64
  4. Step 4: Simplify right side
    315,767.52x = 49,852,548,948.38
  5. Step 5: Solve for x
    x = 49,852,548,948.38/315,767.52
  6. Step 6: Final answer
    x = 157,877.38

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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.