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Finding the Fourth Proportional to 305,133.68, 420,934.84 and 264,790.80

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Solution

The fourth proportional to 305,133.68, 420,934.84 and 264,790.80 is: 365,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,133.68 : 420,934.84 = 264,790.80 : x
  2. Step 2: Convert to fraction form
    305,133.68/420,934.84 = 264,790.80/x
  3. Step 3: Cross multiply
    305,133.68x = 420,934.84 × 264,790.80
  4. Step 4: Simplify right side
    305,133.68x = 111,459,673,031.47
  5. Step 5: Solve for x
    x = 111,459,673,031.47/305,133.68
  6. Step 6: Final answer
    x = 365,281.45

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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.