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Finding the Fourth Proportional to 462,905.40, 692,802.90 and 322,937.40

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Solution

The fourth proportional to 462,905.40, 692,802.90 and 322,937.40 is: 483,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,905.40 : 692,802.90 = 322,937.40 : x
  2. Step 2: Convert to fraction form
    462,905.40/692,802.90 = 322,937.40/x
  3. Step 3: Cross multiply
    462,905.40x = 692,802.90 × 322,937.40
  4. Step 4: Simplify right side
    462,905.40x = 223,731,967,238.46
  5. Step 5: Solve for x
    x = 223,731,967,238.46/462,905.40
  6. Step 6: Final answer
    x = 483,321.14

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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.