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Finding the Fourth Proportional to 547,957.12, 821,549.30 and 210,714.44

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Solution

The fourth proportional to 547,957.12, 821,549.30 and 210,714.44 is: 315,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,957.12 : 821,549.30 = 210,714.44 : x
  2. Step 2: Convert to fraction form
    547,957.12/821,549.30 = 210,714.44/x
  3. Step 3: Cross multiply
    547,957.12x = 821,549.30 × 210,714.44
  4. Step 4: Simplify right side
    547,957.12x = 173,112,300,681.89
  5. Step 5: Solve for x
    x = 173,112,300,681.89/547,957.12
  6. Step 6: Final answer
    x = 315,923.08

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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.