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Finding the Fourth Proportional to 602,857, 831,981.54 and 334,585

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Solution

The fourth proportional to 602,857, 831,981.54 and 334,585 is: 461,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,857 : 831,981.54 = 334,585 : x
  2. Step 2: Convert to fraction form
    602,857/831,981.54 = 334,585/x
  3. Step 3: Cross multiply
    602,857x = 831,981.54 × 334,585
  4. Step 4: Simplify right side
    602,857x = 278,368,543,560.90
  5. Step 5: Solve for x
    x = 278,368,543,560.90/602,857
  6. Step 6: Final answer
    x = 461,748.88

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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.