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Finding the Fourth Proportional to 565,296.04, 780,094.80 and 323,563.32

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Solution

The fourth proportional to 565,296.04, 780,094.80 and 323,563.32 is: 446,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,296.04 : 780,094.80 = 323,563.32 : x
  2. Step 2: Convert to fraction form
    565,296.04/780,094.80 = 323,563.32/x
  3. Step 3: Cross multiply
    565,296.04x = 780,094.80 × 323,563.32
  4. Step 4: Simplify right side
    565,296.04x = 252,410,063,402.74
  5. Step 5: Solve for x
    x = 252,410,063,402.74/565,296.04
  6. Step 6: Final answer
    x = 446,509.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.