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Finding the Fourth Proportional to 354,178.57, 488,752.16 and 193,030.15

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Solution

The fourth proportional to 354,178.57, 488,752.16 and 193,030.15 is: 266,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,178.57 : 488,752.16 = 193,030.15 : x
  2. Step 2: Convert to fraction form
    354,178.57/488,752.16 = 193,030.15/x
  3. Step 3: Cross multiply
    354,178.57x = 488,752.16 × 193,030.15
  4. Step 4: Simplify right side
    354,178.57x = 94,343,900,313.86
  5. Step 5: Solve for x
    x = 94,343,900,313.86/354,178.57
  6. Step 6: Final answer
    x = 266,373.83

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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.