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Finding the Fourth Proportional to 705,970.52, 974,246.87 and 383,680.63

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Solution

The fourth proportional to 705,970.52, 974,246.87 and 383,680.63 is: 529,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,970.52 : 974,246.87 = 383,680.63 : x
  2. Step 2: Convert to fraction form
    705,970.52/974,246.87 = 383,680.63/x
  3. Step 3: Cross multiply
    705,970.52x = 974,246.87 × 383,680.63
  4. Step 4: Simplify right side
    705,970.52x = 373,799,655,034.14
  5. Step 5: Solve for x
    x = 373,799,655,034.14/705,970.52
  6. Step 6: Final answer
    x = 529,483.38

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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.