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Finding the Fourth Proportional to 543,274.02, 749,704.14 and 301,549.50

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Solution

The fourth proportional to 543,274.02, 749,704.14 and 301,549.50 is: 416,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,274.02 : 749,704.14 = 301,549.50 : x
  2. Step 2: Convert to fraction form
    543,274.02/749,704.14 = 301,549.50/x
  3. Step 3: Cross multiply
    543,274.02x = 749,704.14 × 301,549.50
  4. Step 4: Simplify right side
    543,274.02x = 226,072,908,564.93
  5. Step 5: Solve for x
    x = 226,072,908,564.93/543,274.02
  6. Step 6: Final answer
    x = 416,130.53

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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.