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Finding the Fourth Proportional to 410,281.80, 565,742.54 and 266,775.72

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Solution

The fourth proportional to 410,281.80, 565,742.54 and 266,775.72 is: 367,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,281.80 : 565,742.54 = 266,775.72 : x
  2. Step 2: Convert to fraction form
    410,281.80/565,742.54 = 266,775.72/x
  3. Step 3: Cross multiply
    410,281.80x = 565,742.54 × 266,775.72
  4. Step 4: Simplify right side
    410,281.80x = 150,926,372,109.25
  5. Step 5: Solve for x
    x = 150,926,372,109.25/410,281.80
  6. Step 6: Final answer
    x = 367,860.27

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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.