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Finding the Fourth Proportional to 705,970.67, 974,247.05 and 383,680.78

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Solution

The fourth proportional to 705,970.67, 974,247.05 and 383,680.78 is: 529,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,970.67 : 974,247.05 = 383,680.78 : x
  2. Step 2: Convert to fraction form
    705,970.67/974,247.05 = 383,680.78/x
  3. Step 3: Cross multiply
    705,970.67x = 974,247.05 × 383,680.78
  4. Step 4: Simplify right side
    705,970.67x = 373,799,866,580.28
  5. Step 5: Solve for x
    x = 373,799,866,580.28/705,970.67
  6. Step 6: Final answer
    x = 529,483.57

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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.