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Finding the Fourth Proportional to 705,830.36, 974,051.79 and 383,540.45

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Solution

The fourth proportional to 705,830.36, 974,051.79 and 383,540.45 is: 529,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,830.36 : 974,051.79 = 383,540.45 : x
  2. Step 2: Convert to fraction form
    705,830.36/974,051.79 = 383,540.45/x
  3. Step 3: Cross multiply
    705,830.36x = 974,051.79 × 383,540.45
  4. Step 4: Simplify right side
    705,830.36x = 373,588,261,859.91
  5. Step 5: Solve for x
    x = 373,588,261,859.91/705,830.36
  6. Step 6: Final answer
    x = 529,289.02

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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.