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Finding the Fourth Proportional to 601,386.42, 902,183.85 and 202,066.14

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Solution

The fourth proportional to 601,386.42, 902,183.85 and 202,066.14 is: 303,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,386.42 : 902,183.85 = 202,066.14 : x
  2. Step 2: Convert to fraction form
    601,386.42/902,183.85 = 202,066.14/x
  3. Step 3: Cross multiply
    601,386.42x = 902,183.85 × 202,066.14
  4. Step 4: Simplify right side
    601,386.42x = 182,300,808,139.84
  5. Step 5: Solve for x
    x = 182,300,808,139.84/601,386.42
  6. Step 6: Final answer
    x = 303,134.23

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1.5x scale

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.