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Finding the Fourth Proportional to 462,783.40, 693,714.30 and 213,029.80

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Solution

The fourth proportional to 462,783.40, 693,714.30 and 213,029.80 is: 319,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,783.40 : 693,714.30 = 213,029.80 : x
  2. Step 2: Convert to fraction form
    462,783.40/693,714.30 = 213,029.80/x
  3. Step 3: Cross multiply
    462,783.40x = 693,714.30 × 213,029.80
  4. Step 4: Simplify right side
    462,783.40x = 147,781,818,586.14
  5. Step 5: Solve for x
    x = 147,781,818,586.14/462,783.40
  6. Step 6: Final answer
    x = 319,332.58

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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.