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Finding the Fourth Proportional to 265,222.96, 397,830.55 and 65,543.34

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Solution

The fourth proportional to 265,222.96, 397,830.55 and 65,543.34 is: 98,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,222.96 : 397,830.55 = 65,543.34 : x
  2. Step 2: Convert to fraction form
    265,222.96/397,830.55 = 65,543.34/x
  3. Step 3: Cross multiply
    265,222.96x = 397,830.55 × 65,543.34
  4. Step 4: Simplify right side
    265,222.96x = 26,075,142,837.18
  5. Step 5: Solve for x
    x = 26,075,142,837.18/265,222.96
  6. Step 6: Final answer
    x = 98,314.05

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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.