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Finding the Fourth Proportional to 462,894.40, 692,786.40 and 322,926.40

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Solution

The fourth proportional to 462,894.40, 692,786.40 and 322,926.40 is: 483,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,894.40 : 692,786.40 = 322,926.40 : x
  2. Step 2: Convert to fraction form
    462,894.40/692,786.40 = 322,926.40/x
  3. Step 3: Cross multiply
    462,894.40x = 692,786.40 × 322,926.40
  4. Step 4: Simplify right side
    462,894.40x = 223,719,018,120.96
  5. Step 5: Solve for x
    x = 223,719,018,120.96/462,894.40
  6. Step 6: Final answer
    x = 483,304.65

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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.