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Finding the Fourth Proportional to 519,176.32, 778,647.04 and 238,423.68

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Solution

The fourth proportional to 519,176.32, 778,647.04 and 238,423.68 is: 357,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,176.32 : 778,647.04 = 238,423.68 : x
  2. Step 2: Convert to fraction form
    519,176.32/778,647.04 = 238,423.68/x
  3. Step 3: Cross multiply
    519,176.32x = 778,647.04 × 238,423.68
  4. Step 4: Simplify right side
    519,176.32x = 185,647,892,697.91
  5. Step 5: Solve for x
    x = 185,647,892,697.91/519,176.32
  6. Step 6: Final answer
    x = 357,581.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.