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Finding the Fourth Proportional to 511,999.50, 706,824.90 and 374,023.50

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Solution

The fourth proportional to 511,999.50, 706,824.90 and 374,023.50 is: 516,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,999.50 : 706,824.90 = 374,023.50 : x
  2. Step 2: Convert to fraction form
    511,999.50/706,824.90 = 374,023.50/x
  3. Step 3: Cross multiply
    511,999.50x = 706,824.90 × 374,023.50
  4. Step 4: Simplify right side
    511,999.50x = 264,369,122,985.15
  5. Step 5: Solve for x
    x = 264,369,122,985.15/511,999.50
  6. Step 6: Final answer
    x = 516,346.45

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1.5x scale

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.