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Finding the Fourth Proportional to 493,460.40, 739,206.45 and 282,852.30

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Solution

The fourth proportional to 493,460.40, 739,206.45 and 282,852.30 is: 423,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,460.40 : 739,206.45 = 282,852.30 : x
  2. Step 2: Convert to fraction form
    493,460.40/739,206.45 = 282,852.30/x
  3. Step 3: Cross multiply
    493,460.40x = 739,206.45 × 282,852.30
  4. Step 4: Simplify right side
    493,460.40x = 209,086,244,557.34
  5. Step 5: Solve for x
    x = 209,086,244,557.34/493,460.40
  6. Step 6: Final answer
    x = 423,714.33

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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.