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Finding the Fourth Proportional to 354,406.86, 489,070.71 and 193,265.19

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Solution

The fourth proportional to 354,406.86, 489,070.71 and 193,265.19 is: 266,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,406.86 : 489,070.71 = 193,265.19 : x
  2. Step 2: Convert to fraction form
    354,406.86/489,070.71 = 193,265.19/x
  3. Step 3: Cross multiply
    354,406.86x = 489,070.71 × 193,265.19
  4. Step 4: Simplify right side
    354,406.86x = 94,520,343,691.58
  5. Step 5: Solve for x
    x = 94,520,343,691.58/354,406.86
  6. Step 6: Final answer
    x = 266,700.10

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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.