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Finding the Fourth Proportional to 556,907.42, 835,227.14 and 257,100.14

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Solution

The fourth proportional to 556,907.42, 835,227.14 and 257,100.14 is: 385,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,907.42 : 835,227.14 = 257,100.14 : x
  2. Step 2: Convert to fraction form
    556,907.42/835,227.14 = 257,100.14/x
  3. Step 3: Cross multiply
    556,907.42x = 835,227.14 × 257,100.14
  4. Step 4: Simplify right side
    556,907.42x = 214,737,015,428.37
  5. Step 5: Solve for x
    x = 214,737,015,428.37/556,907.42
  6. Step 6: Final answer
    x = 385,588.35

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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.