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Finding the Fourth Proportional to 602,315.88, 902,269.14 and 362,297.30

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Solution

The fourth proportional to 602,315.88, 902,269.14 and 362,297.30 is: 542,721.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,315.88 : 902,269.14 = 362,297.30 : x
  2. Step 2: Convert to fraction form
    602,315.88/902,269.14 = 362,297.30/x
  3. Step 3: Cross multiply
    602,315.88x = 902,269.14 × 362,297.30
  4. Step 4: Simplify right side
    602,315.88x = 326,889,668,783.98
  5. Step 5: Solve for x
    x = 326,889,668,783.98/602,315.88
  6. Step 6: Final answer
    x = 542,721.32

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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.