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Finding the Fourth Proportional to 497,409.23, 746,259.14 and 160,442.42

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Solution

The fourth proportional to 497,409.23, 746,259.14 and 160,442.42 is: 240,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,409.23 : 746,259.14 = 160,442.42 : x
  2. Step 2: Convert to fraction form
    497,409.23/746,259.14 = 160,442.42/x
  3. Step 3: Cross multiply
    497,409.23x = 746,259.14 × 160,442.42
  4. Step 4: Simplify right side
    497,409.23x = 119,731,622,559.37
  5. Step 5: Solve for x
    x = 119,731,622,559.37/497,409.23
  6. Step 6: Final answer
    x = 240,710.50

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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.