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Finding the Fourth Proportional to 356,805.06, 535,038.09 and 207,091.24

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Solution

The fourth proportional to 356,805.06, 535,038.09 and 207,091.24 is: 310,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,805.06 : 535,038.09 = 207,091.24 : x
  2. Step 2: Convert to fraction form
    356,805.06/535,038.09 = 207,091.24/x
  3. Step 3: Cross multiply
    356,805.06x = 535,038.09 × 207,091.24
  4. Step 4: Simplify right side
    356,805.06x = 110,801,698,830.14
  5. Step 5: Solve for x
    x = 110,801,698,830.14/356,805.06
  6. Step 6: Final answer
    x = 310,538.48

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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.