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Finding the Fourth Proportional to 462,482.76, 693,713.34 and 213,164.76

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Solution

The fourth proportional to 462,482.76, 693,713.34 and 213,164.76 is: 319,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,482.76 : 693,713.34 = 213,164.76 : x
  2. Step 2: Convert to fraction form
    462,482.76/693,713.34 = 213,164.76/x
  3. Step 3: Cross multiply
    462,482.76x = 693,713.34 × 213,164.76
  4. Step 4: Simplify right side
    462,482.76x = 147,875,237,629.90
  5. Step 5: Solve for x
    x = 147,875,237,629.90/462,482.76
  6. Step 6: Final answer
    x = 319,742.16

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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.