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Finding the Fourth Proportional to 402,654, 555,648.36 and 221,364.60

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Solution

The fourth proportional to 402,654, 555,648.36 and 221,364.60 is: 305,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,654 : 555,648.36 = 221,364.60 : x
  2. Step 2: Convert to fraction form
    402,654/555,648.36 = 221,364.60/x
  3. Step 3: Cross multiply
    402,654x = 555,648.36 × 221,364.60
  4. Step 4: Simplify right side
    402,654x = 123,000,876,952.06
  5. Step 5: Solve for x
    x = 123,000,876,952.06/402,654
  6. Step 6: Final answer
    x = 305,475.36

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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.