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Finding the Fourth Proportional to 277,294.99, 382,667.08 and 149,970.58

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Solution

The fourth proportional to 277,294.99, 382,667.08 and 149,970.58 is: 206,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,294.99 : 382,667.08 = 149,970.58 : x
  2. Step 2: Convert to fraction form
    277,294.99/382,667.08 = 149,970.58/x
  3. Step 3: Cross multiply
    277,294.99x = 382,667.08 × 149,970.58
  4. Step 4: Simplify right side
    277,294.99x = 57,388,803,934.51
  5. Step 5: Solve for x
    x = 57,388,803,934.51/277,294.99
  6. Step 6: Final answer
    x = 206,959.40

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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.