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Finding the Fourth Proportional to 333,709.06, 460,514.82 and 180,743.44

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Solution

The fourth proportional to 333,709.06, 460,514.82 and 180,743.44 is: 249,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,709.06 : 460,514.82 = 180,743.44 : x
  2. Step 2: Convert to fraction form
    333,709.06/460,514.82 = 180,743.44/x
  3. Step 3: Cross multiply
    333,709.06x = 460,514.82 × 180,743.44
  4. Step 4: Simplify right side
    333,709.06x = 83,235,032,737.78
  5. Step 5: Solve for x
    x = 83,235,032,737.78/333,709.06
  6. Step 6: Final answer
    x = 249,423.95

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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.