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Finding the Fourth Proportional to 523,916, 785,939.88 and 204,075.08

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Solution

The fourth proportional to 523,916, 785,939.88 and 204,075.08 is: 306,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,916 : 785,939.88 = 204,075.08 : x
  2. Step 2: Convert to fraction form
    523,916/785,939.88 = 204,075.08/x
  3. Step 3: Cross multiply
    523,916x = 785,939.88 × 204,075.08
  4. Step 4: Simplify right side
    523,916x = 160,390,743,886.19
  5. Step 5: Solve for x
    x = 160,390,743,886.19/523,916
  6. Step 6: Final answer
    x = 306,138.28

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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.