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Finding the Fourth Proportional to 706,012.66, 974,305.16 and 383,722.82

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Solution

The fourth proportional to 706,012.66, 974,305.16 and 383,722.82 is: 529,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,012.66 : 974,305.16 = 383,722.82 : x
  2. Step 2: Convert to fraction form
    706,012.66/974,305.16 = 383,722.82/x
  3. Step 3: Cross multiply
    706,012.66x = 974,305.16 × 383,722.82
  4. Step 4: Simplify right side
    706,012.66x = 373,863,121,838.22
  5. Step 5: Solve for x
    x = 373,863,121,838.22/706,012.66
  6. Step 6: Final answer
    x = 529,541.67

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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.