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Finding the Fourth Proportional to 375,307.01, 517,960.64 and 214,186.31

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Solution

The fourth proportional to 375,307.01, 517,960.64 and 214,186.31 is: 295,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,307.01 : 517,960.64 = 214,186.31 : x
  2. Step 2: Convert to fraction form
    375,307.01/517,960.64 = 214,186.31/x
  3. Step 3: Cross multiply
    375,307.01x = 517,960.64 × 214,186.31
  4. Step 4: Simplify right side
    375,307.01x = 110,940,076,152.50
  5. Step 5: Solve for x
    x = 110,940,076,152.50/375,307.01
  6. Step 6: Final answer
    x = 295,598.20

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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.