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Finding the Fourth Proportional to 409,674.42, 565,030.22 and 266,480.19

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Solution

The fourth proportional to 409,674.42, 565,030.22 and 266,480.19 is: 367,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,674.42 : 565,030.22 = 266,480.19 : x
  2. Step 2: Convert to fraction form
    409,674.42/565,030.22 = 266,480.19/x
  3. Step 3: Cross multiply
    409,674.42x = 565,030.22 × 266,480.19
  4. Step 4: Simplify right side
    409,674.42x = 150,569,359,048.94
  5. Step 5: Solve for x
    x = 150,569,359,048.94/409,674.42
  6. Step 6: Final answer
    x = 367,534.20

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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.