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Finding the Fourth Proportional to 605,653.20, 907,702.20 and 464,713.20

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Solution

The fourth proportional to 605,653.20, 907,702.20 and 464,713.20 is: 696,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,653.20 : 907,702.20 = 464,713.20 : x
  2. Step 2: Convert to fraction form
    605,653.20/907,702.20 = 464,713.20/x
  3. Step 3: Cross multiply
    605,653.20x = 907,702.20 × 464,713.20
  4. Step 4: Simplify right side
    605,653.20x = 421,821,194,009.04
  5. Step 5: Solve for x
    x = 421,821,194,009.04/605,653.20
  6. Step 6: Final answer
    x = 696,473.15

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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.