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Finding the Fourth Proportional to 348,088.86, 480,353.95 and 193,039.25

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Solution

The fourth proportional to 348,088.86, 480,353.95 and 193,039.25 is: 266,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,088.86 : 480,353.95 = 193,039.25 : x
  2. Step 2: Convert to fraction form
    348,088.86/480,353.95 = 193,039.25/x
  3. Step 3: Cross multiply
    348,088.86x = 480,353.95 × 193,039.25
  4. Step 4: Simplify right side
    348,088.86x = 92,727,165,277.34
  5. Step 5: Solve for x
    x = 92,727,165,277.34/348,088.86
  6. Step 6: Final answer
    x = 266,389.35

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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.