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Finding the Fourth Proportional to 294,506.20, 406,394.65 and 165,437.65

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Solution

The fourth proportional to 294,506.20, 406,394.65 and 165,437.65 is: 228,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,506.20 : 406,394.65 = 165,437.65 : x
  2. Step 2: Convert to fraction form
    294,506.20/406,394.65 = 165,437.65/x
  3. Step 3: Cross multiply
    294,506.20x = 406,394.65 × 165,437.65
  4. Step 4: Simplify right side
    294,506.20x = 67,232,975,868.57
  5. Step 5: Solve for x
    x = 67,232,975,868.57/294,506.20
  6. Step 6: Final answer
    x = 228,290.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.