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Finding the Fourth Proportional to 472,481.56, 652,314.02 and 291,441.02

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Solution

The fourth proportional to 472,481.56, 652,314.02 and 291,441.02 is: 402,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,481.56 : 652,314.02 = 291,441.02 : x
  2. Step 2: Convert to fraction form
    472,481.56/652,314.02 = 291,441.02/x
  3. Step 3: Cross multiply
    472,481.56x = 652,314.02 × 291,441.02
  4. Step 4: Simplify right side
    472,481.56x = 190,111,063,349.10
  5. Step 5: Solve for x
    x = 190,111,063,349.10/472,481.56
  6. Step 6: Final answer
    x = 402,367.16

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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.