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Finding the Fourth Proportional to 354,312.60, 488,948.46 and 193,164.72

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Solution

The fourth proportional to 354,312.60, 488,948.46 and 193,164.72 is: 266,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,312.60 : 488,948.46 = 193,164.72 : x
  2. Step 2: Convert to fraction form
    354,312.60/488,948.46 = 193,164.72/x
  3. Step 3: Cross multiply
    354,312.60x = 488,948.46 × 193,164.72
  4. Step 4: Simplify right side
    354,312.60x = 94,447,592,370.33
  5. Step 5: Solve for x
    x = 94,447,592,370.33/354,312.60
  6. Step 6: Final answer
    x = 266,565.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.