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Finding the Fourth Proportional to 299,492.64, 413,296.72 and 163,526.16

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Solution

The fourth proportional to 299,492.64, 413,296.72 and 163,526.16 is: 225,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,492.64 : 413,296.72 = 163,526.16 : x
  2. Step 2: Convert to fraction form
    299,492.64/413,296.72 = 163,526.16/x
  3. Step 3: Cross multiply
    299,492.64x = 413,296.72 × 163,526.16
  4. Step 4: Simplify right side
    299,492.64x = 67,584,825,562.20
  5. Step 5: Solve for x
    x = 67,584,825,562.20/299,492.64
  6. Step 6: Final answer
    x = 225,664.40

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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.