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Finding the Fourth Proportional to 602,359.76, 831,274.44 and 334,082

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Solution

The fourth proportional to 602,359.76, 831,274.44 and 334,082 is: 461,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,359.76 : 831,274.44 = 334,082 : x
  2. Step 2: Convert to fraction form
    602,359.76/831,274.44 = 334,082/x
  3. Step 3: Cross multiply
    602,359.76x = 831,274.44 × 334,082
  4. Step 4: Simplify right side
    602,359.76x = 277,713,827,464.08
  5. Step 5: Solve for x
    x = 277,713,827,464.08/602,359.76
  6. Step 6: Final answer
    x = 461,043.13

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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.