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Finding the Fourth Proportional to 364,539.90, 546,809.85 and 364,539.90

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Solution

The fourth proportional to 364,539.90, 546,809.85 and 364,539.90 is: 546,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,539.90 : 546,809.85 = 364,539.90 : x
  2. Step 2: Convert to fraction form
    364,539.90/546,809.85 = 364,539.90/x
  3. Step 3: Cross multiply
    364,539.90x = 546,809.85 × 364,539.90
  4. Step 4: Simplify right side
    364,539.90x = 199,334,008,038.02
  5. Step 5: Solve for x
    x = 199,334,008,038.02/364,539.90
  6. Step 6: Final answer
    x = 546,809.85

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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.