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Finding the Fourth Proportional to 602,735, 831,813.18 and 334,463

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Solution

The fourth proportional to 602,735, 831,813.18 and 334,463 is: 461,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,735 : 831,813.18 = 334,463 : x
  2. Step 2: Convert to fraction form
    602,735/831,813.18 = 334,463/x
  3. Step 3: Cross multiply
    602,735x = 831,813.18 × 334,463
  4. Step 4: Simplify right side
    602,735x = 278,210,731,622.34
  5. Step 5: Solve for x
    x = 278,210,731,622.34/602,735
  6. Step 6: Final answer
    x = 461,580.51

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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.