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Finding the Fourth Proportional to 411,051.51, 616,157.01 and 233,182.80

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Solution

The fourth proportional to 411,051.51, 616,157.01 and 233,182.80 is: 349,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,051.51 : 616,157.01 = 233,182.80 : x
  2. Step 2: Convert to fraction form
    411,051.51/616,157.01 = 233,182.80/x
  3. Step 3: Cross multiply
    411,051.51x = 616,157.01 × 233,182.80
  4. Step 4: Simplify right side
    411,051.51x = 143,677,216,831.43
  5. Step 5: Solve for x
    x = 143,677,216,831.43/411,051.51
  6. Step 6: Final answer
    x = 349,535.80

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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.