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Finding the Fourth Proportional to 491,214.40, 737,210.40 and 191,838.40

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Solution

The fourth proportional to 491,214.40, 737,210.40 and 191,838.40 is: 287,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,214.40 : 737,210.40 = 191,838.40 : x
  2. Step 2: Convert to fraction form
    491,214.40/737,210.40 = 191,838.40/x
  3. Step 3: Cross multiply
    491,214.40x = 737,210.40 × 191,838.40
  4. Step 4: Simplify right side
    491,214.40x = 141,425,263,599.36
  5. Step 5: Solve for x
    x = 141,425,263,599.36/491,214.40
  6. Step 6: Final answer
    x = 287,909.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.