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Finding the Fourth Proportional to 565,657.20, 848,485.80 and 313,714.80

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Solution

The fourth proportional to 565,657.20, 848,485.80 and 313,714.80 is: 470,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,657.20 : 848,485.80 = 313,714.80 : x
  2. Step 2: Convert to fraction form
    565,657.20/848,485.80 = 313,714.80/x
  3. Step 3: Cross multiply
    565,657.20x = 848,485.80 × 313,714.80
  4. Step 4: Simplify right side
    565,657.20x = 266,182,553,049.84
  5. Step 5: Solve for x
    x = 266,182,553,049.84/565,657.20
  6. Step 6: Final answer
    x = 470,572.20

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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.