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Finding the Fourth Proportional to 476,190.72, 714,320.64 and 143,792.64

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Solution

The fourth proportional to 476,190.72, 714,320.64 and 143,792.64 is: 215,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,190.72 : 714,320.64 = 143,792.64 : x
  2. Step 2: Convert to fraction form
    476,190.72/714,320.64 = 143,792.64/x
  3. Step 3: Cross multiply
    476,190.72x = 714,320.64 × 143,792.64
  4. Step 4: Simplify right side
    476,190.72x = 102,714,050,632.09
  5. Step 5: Solve for x
    x = 102,714,050,632.09/476,190.72
  6. Step 6: Final answer
    x = 215,699.40

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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.