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Finding the Fourth Proportional to 354,948.40, 532,568.40 and 130,416.40

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Solution

The fourth proportional to 354,948.40, 532,568.40 and 130,416.40 is: 195,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,948.40 : 532,568.40 = 130,416.40 : x
  2. Step 2: Convert to fraction form
    354,948.40/532,568.40 = 130,416.40/x
  3. Step 3: Cross multiply
    354,948.40x = 532,568.40 × 130,416.40
  4. Step 4: Simplify right side
    354,948.40x = 69,455,653,481.76
  5. Step 5: Solve for x
    x = 69,455,653,481.76/354,948.40
  6. Step 6: Final answer
    x = 195,678.17

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Why These Related Problems?

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