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Finding the Fourth Proportional to 590,551, 815,004.18 and 335,984.20

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Solution

The fourth proportional to 590,551, 815,004.18 and 335,984.20 is: 463,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,551 : 815,004.18 = 335,984.20 : x
  2. Step 2: Convert to fraction form
    590,551/815,004.18 = 335,984.20/x
  3. Step 3: Cross multiply
    590,551x = 815,004.18 × 335,984.20
  4. Step 4: Simplify right side
    590,551x = 273,828,527,413.96
  5. Step 5: Solve for x
    x = 273,828,527,413.96/590,551
  6. Step 6: Final answer
    x = 463,683.12

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1.5x scale

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.