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Finding the Fourth Proportional to 462,783.41, 694,262 and 210,081.63

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Solution

The fourth proportional to 462,783.41, 694,262 and 210,081.63 is: 315,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,783.41 : 694,262 = 210,081.63 : x
  2. Step 2: Convert to fraction form
    462,783.41/694,262 = 210,081.63/x
  3. Step 3: Cross multiply
    462,783.41x = 694,262 × 210,081.63
  4. Step 4: Simplify right side
    462,783.41x = 145,851,692,607.06
  5. Step 5: Solve for x
    x = 145,851,692,607.06/462,783.41
  6. Step 6: Final answer
    x = 315,161.89

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1.5x scale

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.