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Finding the Fourth Proportional to 705,814.06, 974,029.56 and 383,524.15

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Solution

The fourth proportional to 705,814.06, 974,029.56 and 383,524.15 is: 529,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,814.06 : 974,029.56 = 383,524.15 : x
  2. Step 2: Convert to fraction form
    705,814.06/974,029.56 = 383,524.15/x
  3. Step 3: Cross multiply
    705,814.06x = 974,029.56 × 383,524.15
  4. Step 4: Simplify right side
    705,814.06x = 373,563,859,073.87
  5. Step 5: Solve for x
    x = 373,563,859,073.87/705,814.06
  6. Step 6: Final answer
    x = 529,266.67

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1.5x scale

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.