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Finding the Fourth Proportional to 432,490.50, 596,834.51 and 238,911.53

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Solution

The fourth proportional to 432,490.50, 596,834.51 and 238,911.53 is: 329,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,490.50 : 596,834.51 = 238,911.53 : x
  2. Step 2: Convert to fraction form
    432,490.50/596,834.51 = 238,911.53/x
  3. Step 3: Cross multiply
    432,490.50x = 596,834.51 × 238,911.53
  4. Step 4: Simplify right side
    432,490.50x = 142,590,641,762.17
  5. Step 5: Solve for x
    x = 142,590,641,762.17/432,490.50
  6. Step 6: Final answer
    x = 329,696.59

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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.