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Finding the Fourth Proportional to 473,698.37, 710,550.63 and 189,412.81

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Solution

The fourth proportional to 473,698.37, 710,550.63 and 189,412.81 is: 284,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,698.37 : 710,550.63 = 189,412.81 : x
  2. Step 2: Convert to fraction form
    473,698.37/710,550.63 = 189,412.81/x
  3. Step 3: Cross multiply
    473,698.37x = 710,550.63 × 189,412.81
  4. Step 4: Simplify right side
    473,698.37x = 134,587,391,475.57
  5. Step 5: Solve for x
    x = 134,587,391,475.57/473,698.37
  6. Step 6: Final answer
    x = 284,120.44

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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.