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Finding the Fourth Proportional to 705,968.52, 974,244.08 and 383,678.63

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Solution

The fourth proportional to 705,968.52, 974,244.08 and 383,678.63 is: 529,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,968.52 : 974,244.08 = 383,678.63 : x
  2. Step 2: Convert to fraction form
    705,968.52/974,244.08 = 383,678.63/x
  3. Step 3: Cross multiply
    705,968.52x = 974,244.08 × 383,678.63
  4. Step 4: Simplify right side
    705,968.52x = 373,796,637,294.82
  5. Step 5: Solve for x
    x = 373,796,637,294.82/705,968.52
  6. Step 6: Final answer
    x = 529,480.60

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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.