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Finding the Fourth Proportional to 553,157.16, 829,935 and 193,381.08

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Solution

The fourth proportional to 553,157.16, 829,935 and 193,381.08 is: 290,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,157.16 : 829,935 = 193,381.08 : x
  2. Step 2: Convert to fraction form
    553,157.16/829,935 = 193,381.08/x
  3. Step 3: Cross multiply
    553,157.16x = 829,935 × 193,381.08
  4. Step 4: Simplify right side
    553,157.16x = 160,493,726,629.80
  5. Step 5: Solve for x
    x = 160,493,726,629.80/553,157.16
  6. Step 6: Final answer
    x = 290,141.28

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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.