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Finding the Fourth Proportional to 447,281.00, 616,397.45 and 319,735.16

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Solution

The fourth proportional to 447,281.00, 616,397.45 and 319,735.16 is: 440,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,281.00 : 616,397.45 = 319,735.16 : x
  2. Step 2: Convert to fraction form
    447,281.00/616,397.45 = 319,735.16/x
  3. Step 3: Cross multiply
    447,281.00x = 616,397.45 × 319,735.16
  4. Step 4: Simplify right side
    447,281.00x = 197,083,932,618.68
  5. Step 5: Solve for x
    x = 197,083,932,618.68/447,281.00
  6. Step 6: Final answer
    x = 440,626.66

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Why These Related Problems?

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