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Finding the Fourth Proportional to 536,094.53, 802,131.87 and 319,159.77

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Solution

The fourth proportional to 536,094.53, 802,131.87 and 319,159.77 is: 477,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,094.53 : 802,131.87 = 319,159.77 : x
  2. Step 2: Convert to fraction form
    536,094.53/802,131.87 = 319,159.77/x
  3. Step 3: Cross multiply
    536,094.53x = 802,131.87 × 319,159.77
  4. Step 4: Simplify right side
    536,094.53x = 256,008,223,138.87
  5. Step 5: Solve for x
    x = 256,008,223,138.87/536,094.53
  6. Step 6: Final answer
    x = 477,543.07

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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.