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Finding the Fourth Proportional to 705,782.85, 973,986.28 and 383,492.96

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Solution

The fourth proportional to 705,782.85, 973,986.28 and 383,492.96 is: 529,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,782.85 : 973,986.28 = 383,492.96 : x
  2. Step 2: Convert to fraction form
    705,782.85/973,986.28 = 383,492.96/x
  3. Step 3: Cross multiply
    705,782.85x = 973,986.28 × 383,492.96
  4. Step 4: Simplify right side
    705,782.85x = 373,516,882,992.82
  5. Step 5: Solve for x
    x = 373,516,882,992.82/705,782.85
  6. Step 6: Final answer
    x = 529,223.52

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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.