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Finding the Fourth Proportional to 411,973.49, 617,233.46 and 360,801.53

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Solution

The fourth proportional to 411,973.49, 617,233.46 and 360,801.53 is: 540,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,973.49 : 617,233.46 = 360,801.53 : x
  2. Step 2: Convert to fraction form
    411,973.49/617,233.46 = 360,801.53/x
  3. Step 3: Cross multiply
    411,973.49x = 617,233.46 × 360,801.53
  4. Step 4: Simplify right side
    411,973.49x = 222,698,774,931.19
  5. Step 5: Solve for x
    x = 222,698,774,931.19/411,973.49
  6. Step 6: Final answer
    x = 540,565.79

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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.