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Finding the Fourth Proportional to 705,967.90, 974,243.24 and 383,678.01

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Solution

The fourth proportional to 705,967.90, 974,243.24 and 383,678.01 is: 529,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,967.90 : 974,243.24 = 383,678.01 : x
  2. Step 2: Convert to fraction form
    705,967.90/974,243.24 = 383,678.01/x
  3. Step 3: Cross multiply
    705,967.90x = 974,243.24 × 383,678.01
  4. Step 4: Simplify right side
    705,967.90x = 373,795,708,538.35
  5. Step 5: Solve for x
    x = 373,795,708,538.35/705,967.90
  6. Step 6: Final answer
    x = 529,479.75

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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.