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Finding the Fourth Proportional to 295,705.60, 442,975.20 and 177,024.40

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Solution

The fourth proportional to 295,705.60, 442,975.20 and 177,024.40 is: 265,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,705.60 : 442,975.20 = 177,024.40 : x
  2. Step 2: Convert to fraction form
    295,705.60/442,975.20 = 177,024.40/x
  3. Step 3: Cross multiply
    295,705.60x = 442,975.20 × 177,024.40
  4. Step 4: Simplify right side
    295,705.60x = 78,417,418,994.88
  5. Step 5: Solve for x
    x = 78,417,418,994.88/295,705.60
  6. Step 6: Final answer
    x = 265,187.47

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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.