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Finding the Fourth Proportional to 410,281.42, 565,742.01 and 266,775.34

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Solution

The fourth proportional to 410,281.42, 565,742.01 and 266,775.34 is: 367,859.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,281.42 : 565,742.01 = 266,775.34 : x
  2. Step 2: Convert to fraction form
    410,281.42/565,742.01 = 266,775.34/x
  3. Step 3: Cross multiply
    410,281.42x = 565,742.01 × 266,775.34
  4. Step 4: Simplify right side
    410,281.42x = 150,926,017,070.03
  5. Step 5: Solve for x
    x = 150,926,017,070.03/410,281.42
  6. Step 6: Final answer
    x = 367,859.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.