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Finding the Fourth Proportional to 410,280.42, 565,740.64 and 266,774.34

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Solution

The fourth proportional to 410,280.42, 565,740.64 and 266,774.34 is: 367,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,280.42 : 565,740.64 = 266,774.34 : x
  2. Step 2: Convert to fraction form
    410,280.42/565,740.64 = 266,774.34/x
  3. Step 3: Cross multiply
    410,280.42x = 565,740.64 × 266,774.34
  4. Step 4: Simplify right side
    410,280.42x = 150,925,084,513.31
  5. Step 5: Solve for x
    x = 150,925,084,513.31/410,280.42
  6. Step 6: Final answer
    x = 367,858.37

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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.