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Finding the Fourth Proportional to 525,046.40, 788,152.80 and 288,850.40

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Solution

The fourth proportional to 525,046.40, 788,152.80 and 288,850.40 is: 433,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,046.40 : 788,152.80 = 288,850.40 : x
  2. Step 2: Convert to fraction form
    525,046.40/788,152.80 = 288,850.40/x
  3. Step 3: Cross multiply
    525,046.40x = 788,152.80 × 288,850.40
  4. Step 4: Simplify right side
    525,046.40x = 227,658,251,541.12
  5. Step 5: Solve for x
    x = 227,658,251,541.12/525,046.40
  6. Step 6: Final answer
    x = 433,596.44

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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.