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Finding the Fourth Proportional to 525,978.42, 725,513.60 and 364,774.66

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Solution

The fourth proportional to 525,978.42, 725,513.60 and 364,774.66 is: 503,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,978.42 : 725,513.60 = 364,774.66 : x
  2. Step 2: Convert to fraction form
    525,978.42/725,513.60 = 364,774.66/x
  3. Step 3: Cross multiply
    525,978.42x = 725,513.60 × 364,774.66
  4. Step 4: Simplify right side
    525,978.42x = 264,648,976,765.38
  5. Step 5: Solve for x
    x = 264,648,976,765.38/525,978.42
  6. Step 6: Final answer
    x = 503,155.58

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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.