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Finding the Fourth Proportional to 410,152, 566,009.76 and 231,304

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Solution

The fourth proportional to 410,152, 566,009.76 and 231,304 is: 319,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,152 : 566,009.76 = 231,304 : x
  2. Step 2: Convert to fraction form
    410,152/566,009.76 = 231,304/x
  3. Step 3: Cross multiply
    410,152x = 566,009.76 × 231,304
  4. Step 4: Simplify right side
    410,152x = 130,920,321,527.04
  5. Step 5: Solve for x
    x = 130,920,321,527.04/410,152
  6. Step 6: Final answer
    x = 319,199.52

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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.