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Finding the Fourth Proportional to 402,696.96, 555,728.64 and 221,416.32

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Solution

The fourth proportional to 402,696.96, 555,728.64 and 221,416.32 is: 305,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,696.96 : 555,728.64 = 221,416.32 : x
  2. Step 2: Convert to fraction form
    402,696.96/555,728.64 = 221,416.32/x
  3. Step 3: Cross multiply
    402,696.96x = 555,728.64 × 221,416.32
  4. Step 4: Simplify right side
    402,696.96x = 123,047,390,387.41
  5. Step 5: Solve for x
    x = 123,047,390,387.41/402,696.96
  6. Step 6: Final answer
    x = 305,558.28

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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.