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Finding the Fourth Proportional to 382,763.54, 528,307.43 and 296,552

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Solution

The fourth proportional to 382,763.54, 528,307.43 and 296,552 is: 409,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,763.54 : 528,307.43 = 296,552 : x
  2. Step 2: Convert to fraction form
    382,763.54/528,307.43 = 296,552/x
  3. Step 3: Cross multiply
    382,763.54x = 528,307.43 × 296,552
  4. Step 4: Simplify right side
    382,763.54x = 156,670,624,981.36
  5. Step 5: Solve for x
    x = 156,670,624,981.36/382,763.54
  6. Step 6: Final answer
    x = 409,314.39

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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.