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Finding the Fourth Proportional to 525,847.40, 788,771.10 and 420,871.40

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Solution

The fourth proportional to 525,847.40, 788,771.10 and 420,871.40 is: 631,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,847.40 : 788,771.10 = 420,871.40 : x
  2. Step 2: Convert to fraction form
    525,847.40/788,771.10 = 420,871.40/x
  3. Step 3: Cross multiply
    525,847.40x = 788,771.10 × 420,871.40
  4. Step 4: Simplify right side
    525,847.40x = 331,971,197,136.54
  5. Step 5: Solve for x
    x = 331,971,197,136.54/525,847.40
  6. Step 6: Final answer
    x = 631,307.10

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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.