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Finding the Fourth Proportional to 525,208.56, 788,011.38 and 205,588.84

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Solution

The fourth proportional to 525,208.56, 788,011.38 and 205,588.84 is: 308,460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,208.56 : 788,011.38 = 205,588.84 : x
  2. Step 2: Convert to fraction form
    525,208.56/788,011.38 = 205,588.84/x
  3. Step 3: Cross multiply
    525,208.56x = 788,011.38 × 205,588.84
  4. Step 4: Simplify right side
    525,208.56x = 162,006,345,521.00
  5. Step 5: Solve for x
    x = 162,006,345,521.00/525,208.56
  6. Step 6: Final answer
    x = 308,460.98

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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.