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Finding the Fourth Proportional to 538,598.46, 743,308.71 and 296,924.22

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Solution

The fourth proportional to 538,598.46, 743,308.71 and 296,924.22 is: 409,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,598.46 : 743,308.71 = 296,924.22 : x
  2. Step 2: Convert to fraction form
    538,598.46/743,308.71 = 296,924.22/x
  3. Step 3: Cross multiply
    538,598.46x = 743,308.71 × 296,924.22
  4. Step 4: Simplify right side
    538,598.46x = 220,706,358,935.96
  5. Step 5: Solve for x
    x = 220,706,358,935.96/538,598.46
  6. Step 6: Final answer
    x = 409,779.04

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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.