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Finding the Fourth Proportional to 497,759.40, 746,641.80 and 123,782.40

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Solution

The fourth proportional to 497,759.40, 746,641.80 and 123,782.40 is: 185,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,759.40 : 746,641.80 = 123,782.40 : x
  2. Step 2: Convert to fraction form
    497,759.40/746,641.80 = 123,782.40/x
  3. Step 3: Cross multiply
    497,759.40x = 746,641.80 × 123,782.40
  4. Step 4: Simplify right side
    497,759.40x = 92,421,113,944.32
  5. Step 5: Solve for x
    x = 92,421,113,944.32/497,759.40
  6. Step 6: Final answer
    x = 185,674.27

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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.