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Finding the Fourth Proportional to 569,102.64, 852,975.72 and 265,088.88

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Solution

The fourth proportional to 569,102.64, 852,975.72 and 265,088.88 is: 397,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,102.64 : 852,975.72 = 265,088.88 : x
  2. Step 2: Convert to fraction form
    569,102.64/852,975.72 = 265,088.88/x
  3. Step 3: Cross multiply
    569,102.64x = 852,975.72 × 265,088.88
  4. Step 4: Simplify right side
    569,102.64x = 226,114,378,281.99
  5. Step 5: Solve for x
    x = 226,114,378,281.99/569,102.64
  6. Step 6: Final answer
    x = 397,317.39

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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.