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Finding the Fourth Proportional to 525,782.60, 788,501.10 and 193,315.40

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Solution

The fourth proportional to 525,782.60, 788,501.10 and 193,315.40 is: 289,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,782.60 : 788,501.10 = 193,315.40 : x
  2. Step 2: Convert to fraction form
    525,782.60/788,501.10 = 193,315.40/x
  3. Step 3: Cross multiply
    525,782.60x = 788,501.10 × 193,315.40
  4. Step 4: Simplify right side
    525,782.60x = 152,429,405,546.94
  5. Step 5: Solve for x
    x = 152,429,405,546.94/525,782.60
  6. Step 6: Final answer
    x = 289,909.57

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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.