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Finding the Fourth Proportional to 531,577.16, 797,365.74 and 364,859.72

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Solution

The fourth proportional to 531,577.16, 797,365.74 and 364,859.72 is: 547,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,577.16 : 797,365.74 = 364,859.72 : x
  2. Step 2: Convert to fraction form
    531,577.16/797,365.74 = 364,859.72/x
  3. Step 3: Cross multiply
    531,577.16x = 797,365.74 × 364,859.72
  4. Step 4: Simplify right side
    531,577.16x = 290,926,640,633.99
  5. Step 5: Solve for x
    x = 290,926,640,633.99/531,577.16
  6. Step 6: Final answer
    x = 547,289.58

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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.