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Finding the Fourth Proportional to 209,712.40, 294,426.80 and 209,712.40

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Solution

The fourth proportional to 209,712.40, 294,426.80 and 209,712.40 is: 294,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,712.40 : 294,426.80 = 209,712.40 : x
  2. Step 2: Convert to fraction form
    209,712.40/294,426.80 = 209,712.40/x
  3. Step 3: Cross multiply
    209,712.40x = 294,426.80 × 209,712.40
  4. Step 4: Simplify right side
    209,712.40x = 61,744,950,852.32
  5. Step 5: Solve for x
    x = 61,744,950,852.32/209,712.40
  6. Step 6: Final answer
    x = 294,426.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.