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Finding the Fourth Proportional to 714,439.33, 986,744.54 and 470,514.49

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Solution

The fourth proportional to 714,439.33, 986,744.54 and 470,514.49 is: 649,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,439.33 : 986,744.54 = 470,514.49 : x
  2. Step 2: Convert to fraction form
    714,439.33/986,744.54 = 470,514.49/x
  3. Step 3: Cross multiply
    714,439.33x = 986,744.54 × 470,514.49
  4. Step 4: Simplify right side
    714,439.33x = 464,277,603,998.39
  5. Step 5: Solve for x
    x = 464,277,603,998.39/714,439.33
  6. Step 6: Final answer
    x = 649,848.89

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Double scale
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1.5x scale

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.