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Finding the Fourth Proportional to 595,514.30, 893,409.62 and 196,140.74

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Solution

The fourth proportional to 595,514.30, 893,409.62 and 196,140.74 is: 294,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,514.30 : 893,409.62 = 196,140.74 : x
  2. Step 2: Convert to fraction form
    595,514.30/893,409.62 = 196,140.74/x
  3. Step 3: Cross multiply
    595,514.30x = 893,409.62 × 196,140.74
  4. Step 4: Simplify right side
    595,514.30x = 175,234,018,542.17
  5. Step 5: Solve for x
    x = 175,234,018,542.17/595,514.30
  6. Step 6: Final answer
    x = 294,256.61

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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.