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Finding the Fourth Proportional to 297,678.80, 446,567.40 and 137,914.40

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Solution

The fourth proportional to 297,678.80, 446,567.40 and 137,914.40 is: 206,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,678.80 : 446,567.40 = 137,914.40 : x
  2. Step 2: Convert to fraction form
    297,678.80/446,567.40 = 137,914.40/x
  3. Step 3: Cross multiply
    297,678.80x = 446,567.40 × 137,914.40
  4. Step 4: Simplify right side
    297,678.80x = 61,588,075,030.56
  5. Step 5: Solve for x
    x = 61,588,075,030.56/297,678.80
  6. Step 6: Final answer
    x = 206,894.39

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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.