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Finding the Fourth Proportional to 390,874.40, 586,234.80 and 128,218.40

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Solution

The fourth proportional to 390,874.40, 586,234.80 and 128,218.40 is: 192,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,874.40 : 586,234.80 = 128,218.40 : x
  2. Step 2: Convert to fraction form
    390,874.40/586,234.80 = 128,218.40/x
  3. Step 3: Cross multiply
    390,874.40x = 586,234.80 × 128,218.40
  4. Step 4: Simplify right side
    390,874.40x = 75,166,088,080.32
  5. Step 5: Solve for x
    x = 75,166,088,080.32/390,874.40
  6. Step 6: Final answer
    x = 192,302.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.