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Finding the Fourth Proportional to 551,867.40, 761,580 and 322,438.14

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Solution

The fourth proportional to 551,867.40, 761,580 and 322,438.14 is: 444,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,867.40 : 761,580 = 322,438.14 : x
  2. Step 2: Convert to fraction form
    551,867.40/761,580 = 322,438.14/x
  3. Step 3: Cross multiply
    551,867.40x = 761,580 × 322,438.14
  4. Step 4: Simplify right side
    551,867.40x = 245,562,438,661.20
  5. Step 5: Solve for x
    x = 245,562,438,661.20/551,867.40
  6. Step 6: Final answer
    x = 444,966.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.