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Finding the Fourth Proportional to 341,300.48, 471,088.34 and 198,106.66

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Solution

The fourth proportional to 341,300.48, 471,088.34 and 198,106.66 is: 273,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,300.48 : 471,088.34 = 198,106.66 : x
  2. Step 2: Convert to fraction form
    341,300.48/471,088.34 = 198,106.66/x
  3. Step 3: Cross multiply
    341,300.48x = 471,088.34 × 198,106.66
  4. Step 4: Simplify right side
    341,300.48x = 93,325,737,602.34
  5. Step 5: Solve for x
    x = 93,325,737,602.34/341,300.48
  6. Step 6: Final answer
    x = 273,441.57

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