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Finding the Fourth Proportional to 354,041.04, 488,509.04 and 208,892.48

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Solution

The fourth proportional to 354,041.04, 488,509.04 and 208,892.48 is: 288,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,041.04 : 488,509.04 = 208,892.48 : x
  2. Step 2: Convert to fraction form
    354,041.04/488,509.04 = 208,892.48/x
  3. Step 3: Cross multiply
    354,041.04x = 488,509.04 × 208,892.48
  4. Step 4: Simplify right side
    354,041.04x = 102,045,864,868.02
  5. Step 5: Solve for x
    x = 102,045,864,868.02/354,041.04
  6. Step 6: Final answer
    x = 288,231.74

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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.