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Finding the Fourth Proportional to 546,114.26, 818,642.10 and 208,895.24

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Solution

The fourth proportional to 546,114.26, 818,642.10 and 208,895.24 is: 313,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,114.26 : 818,642.10 = 208,895.24 : x
  2. Step 2: Convert to fraction form
    546,114.26/818,642.10 = 208,895.24/x
  3. Step 3: Cross multiply
    546,114.26x = 818,642.10 × 208,895.24
  4. Step 4: Simplify right side
    546,114.26x = 171,010,437,953.60
  5. Step 5: Solve for x
    x = 171,010,437,953.60/546,114.26
  6. Step 6: Final answer
    x = 313,140.40

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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.