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Finding the Fourth Proportional to 468,254.60, 702,310.62 and 152,711

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Solution

The fourth proportional to 468,254.60, 702,310.62 and 152,711 is: 229,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,254.60 : 702,310.62 = 152,711 : x
  2. Step 2: Convert to fraction form
    468,254.60/702,310.62 = 152,711/x
  3. Step 3: Cross multiply
    468,254.60x = 702,310.62 × 152,711
  4. Step 4: Simplify right side
    468,254.60x = 107,250,557,090.82
  5. Step 5: Solve for x
    x = 107,250,557,090.82/468,254.60
  6. Step 6: Final answer
    x = 229,043.25

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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.