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Finding the Fourth Proportional to 516,180.64, 712,386.64 and 301,373.60

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Solution

The fourth proportional to 516,180.64, 712,386.64 and 301,373.60 is: 415,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,180.64 : 712,386.64 = 301,373.60 : x
  2. Step 2: Convert to fraction form
    516,180.64/712,386.64 = 301,373.60/x
  3. Step 3: Cross multiply
    516,180.64x = 712,386.64 × 301,373.60
  4. Step 4: Simplify right side
    516,180.64x = 214,694,526,288.70
  5. Step 5: Solve for x
    x = 214,694,526,288.70/516,180.64
  6. Step 6: Final answer
    x = 415,929.06

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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.