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Finding the Fourth Proportional to 397,347.88, 592,278.60 and 365,461.48

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Solution

The fourth proportional to 397,347.88, 592,278.60 and 365,461.48 is: 544,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,347.88 : 592,278.60 = 365,461.48 : x
  2. Step 2: Convert to fraction form
    397,347.88/592,278.60 = 365,461.48/x
  3. Step 3: Cross multiply
    397,347.88x = 592,278.60 × 365,461.48
  4. Step 4: Simplify right side
    397,347.88x = 216,455,013,728.33
  5. Step 5: Solve for x
    x = 216,455,013,728.33/397,347.88
  6. Step 6: Final answer
    x = 544,749.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.