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Finding the Fourth Proportional to 464,281.20, 696,538.44 and 183,762

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Solution

The fourth proportional to 464,281.20, 696,538.44 and 183,762 is: 275,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,281.20 : 696,538.44 = 183,762 : x
  2. Step 2: Convert to fraction form
    464,281.20/696,538.44 = 183,762/x
  3. Step 3: Cross multiply
    464,281.20x = 696,538.44 × 183,762
  4. Step 4: Simplify right side
    464,281.20x = 127,997,296,811.28
  5. Step 5: Solve for x
    x = 127,997,296,811.28/464,281.20
  6. Step 6: Final answer
    x = 275,689.17

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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.