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Finding the Fourth Proportional to 431,946.96, 648,117.36 and 221,732.64

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Solution

The fourth proportional to 431,946.96, 648,117.36 and 221,732.64 is: 332,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,946.96 : 648,117.36 = 221,732.64 : x
  2. Step 2: Convert to fraction form
    431,946.96/648,117.36 = 221,732.64/x
  3. Step 3: Cross multiply
    431,946.96x = 648,117.36 × 221,732.64
  4. Step 4: Simplify right side
    431,946.96x = 143,708,773,262.63
  5. Step 5: Solve for x
    x = 143,708,773,262.63/431,946.96
  6. Step 6: Final answer
    x = 332,700.05

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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.