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Finding the Fourth Proportional to 737,207.09, 1,017,378.53 and 414,938.06

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Solution

The fourth proportional to 737,207.09, 1,017,378.53 and 414,938.06 is: 572,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,207.09 : 1,017,378.53 = 414,938.06 : x
  2. Step 2: Convert to fraction form
    737,207.09/1,017,378.53 = 414,938.06/x
  3. Step 3: Cross multiply
    737,207.09x = 1,017,378.53 × 414,938.06
  4. Step 4: Simplify right side
    737,207.09x = 422,149,066,362.27
  5. Step 5: Solve for x
    x = 422,149,066,362.27/737,207.09
  6. Step 6: Final answer
    x = 572,632.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.