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Finding the Fourth Proportional to 525,222.40, 788,708.40 and 288,734.80

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Solution

The fourth proportional to 525,222.40, 788,708.40 and 288,734.80 is: 433,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,222.40 : 788,708.40 = 288,734.80 : x
  2. Step 2: Convert to fraction form
    525,222.40/788,708.40 = 288,734.80/x
  3. Step 3: Cross multiply
    525,222.40x = 788,708.40 × 288,734.80
  4. Step 4: Simplify right side
    525,222.40x = 227,727,562,132.32
  5. Step 5: Solve for x
    x = 227,727,562,132.32/525,222.40
  6. Step 6: Final answer
    x = 433,583.11

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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.