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Finding the Fourth Proportional to 463,102.40, 694,653.60 and 147,582.40

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Solution

The fourth proportional to 463,102.40, 694,653.60 and 147,582.40 is: 221,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,102.40 : 694,653.60 = 147,582.40 : x
  2. Step 2: Convert to fraction form
    463,102.40/694,653.60 = 147,582.40/x
  3. Step 3: Cross multiply
    463,102.40x = 694,653.60 × 147,582.40
  4. Step 4: Simplify right side
    463,102.40x = 102,518,645,456.64
  5. Step 5: Solve for x
    x = 102,518,645,456.64/463,102.40
  6. Step 6: Final answer
    x = 221,373.60

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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.