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Finding the Fourth Proportional to 462,875.60, 694,140.60 and 322,216.40

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Solution

The fourth proportional to 462,875.60, 694,140.60 and 322,216.40 is: 483,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,875.60 : 694,140.60 = 322,216.40 : x
  2. Step 2: Convert to fraction form
    462,875.60/694,140.60 = 322,216.40/x
  3. Step 3: Cross multiply
    462,875.60x = 694,140.60 × 322,216.40
  4. Step 4: Simplify right side
    462,875.60x = 223,663,485,225.84
  5. Step 5: Solve for x
    x = 223,663,485,225.84/462,875.60
  6. Step 6: Final answer
    x = 483,204.31

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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.