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Finding the Fourth Proportional to 525,781.60, 788,499.60 and 193,314.40

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Solution

The fourth proportional to 525,781.60, 788,499.60 and 193,314.40 is: 289,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,781.60 : 788,499.60 = 193,314.40 : x
  2. Step 2: Convert to fraction form
    525,781.60/788,499.60 = 193,314.40/x
  3. Step 3: Cross multiply
    525,781.60x = 788,499.60 × 193,314.40
  4. Step 4: Simplify right side
    525,781.60x = 152,428,327,074.24
  5. Step 5: Solve for x
    x = 152,428,327,074.24/525,781.60
  6. Step 6: Final answer
    x = 289,908.07

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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.