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Finding the Fourth Proportional to 605,654.20, 907,703.70 and 464,714.20

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Solution

The fourth proportional to 605,654.20, 907,703.70 and 464,714.20 is: 696,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,654.20 : 907,703.70 = 464,714.20 : x
  2. Step 2: Convert to fraction form
    605,654.20/907,703.70 = 464,714.20/x
  3. Step 3: Cross multiply
    605,654.20x = 907,703.70 × 464,714.20
  4. Step 4: Simplify right side
    605,654.20x = 421,822,798,782.54
  5. Step 5: Solve for x
    x = 421,822,798,782.54/605,654.20
  6. Step 6: Final answer
    x = 696,474.65

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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.