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Finding the Fourth Proportional to 596,602, 823,312.38 and 328,330

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Solution

The fourth proportional to 596,602, 823,312.38 and 328,330 is: 453,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,602 : 823,312.38 = 328,330 : x
  2. Step 2: Convert to fraction form
    596,602/823,312.38 = 328,330/x
  3. Step 3: Cross multiply
    596,602x = 823,312.38 × 328,330
  4. Step 4: Simplify right side
    596,602x = 270,318,153,725.40
  5. Step 5: Solve for x
    x = 270,318,153,725.40/596,602
  6. Step 6: Final answer
    x = 453,096.29

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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.