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Finding the Fourth Proportional to 602,566.56, 902,916.24 and 380,484

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Solution

The fourth proportional to 602,566.56, 902,916.24 and 380,484 is: 570,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,566.56 : 902,916.24 = 380,484 : x
  2. Step 2: Convert to fraction form
    602,566.56/902,916.24 = 380,484/x
  3. Step 3: Cross multiply
    602,566.56x = 902,916.24 × 380,484
  4. Step 4: Simplify right side
    602,566.56x = 343,545,182,660.16
  5. Step 5: Solve for x
    x = 343,545,182,660.16/602,566.56
  6. Step 6: Final answer
    x = 570,136.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.