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Finding the Fourth Proportional to 962,389.82, 1,328,078.13 and 532,644.32

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Solution

The fourth proportional to 962,389.82, 1,328,078.13 and 532,644.32 is: 735,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,389.82 : 1,328,078.13 = 532,644.32 : x
  2. Step 2: Convert to fraction form
    962,389.82/1,328,078.13 = 532,644.32/x
  3. Step 3: Cross multiply
    962,389.82x = 1,328,078.13 × 532,644.32
  4. Step 4: Simplify right side
    962,389.82x = 707,393,273,783.50
  5. Step 5: Solve for x
    x = 707,393,273,783.50/962,389.82
  6. Step 6: Final answer
    x = 735,038.19

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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.