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Finding the Fourth Proportional to 443,280, 611,729.76 and 242,076

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Solution

The fourth proportional to 443,280, 611,729.76 and 242,076 is: 334,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,280 : 611,729.76 = 242,076 : x
  2. Step 2: Convert to fraction form
    443,280/611,729.76 = 242,076/x
  3. Step 3: Cross multiply
    443,280x = 611,729.76 × 242,076
  4. Step 4: Simplify right side
    443,280x = 148,085,093,381.76
  5. Step 5: Solve for x
    x = 148,085,093,381.76/443,280
  6. Step 6: Final answer
    x = 334,066.71

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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.