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Finding the Fourth Proportional to 556,588.47, 768,094.02 and 301,941.48

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Solution

The fourth proportional to 556,588.47, 768,094.02 and 301,941.48 is: 416,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,588.47 : 768,094.02 = 301,941.48 : x
  2. Step 2: Convert to fraction form
    556,588.47/768,094.02 = 301,941.48/x
  3. Step 3: Cross multiply
    556,588.47x = 768,094.02 × 301,941.48
  4. Step 4: Simplify right side
    556,588.47x = 231,919,445,177.95
  5. Step 5: Solve for x
    x = 231,919,445,177.95/556,588.47
  6. Step 6: Final answer
    x = 416,680.29

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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.