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Finding the Fourth Proportional to 462,892.40, 692,783.40 and 322,924.40

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Solution

The fourth proportional to 462,892.40, 692,783.40 and 322,924.40 is: 483,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,892.40 : 692,783.40 = 322,924.40 : x
  2. Step 2: Convert to fraction form
    462,892.40/692,783.40 = 322,924.40/x
  3. Step 3: Cross multiply
    462,892.40x = 692,783.40 × 322,924.40
  4. Step 4: Simplify right side
    462,892.40x = 223,716,663,774.96
  5. Step 5: Solve for x
    x = 223,716,663,774.96/462,892.40
  6. Step 6: Final answer
    x = 483,301.66

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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.