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Finding the Fourth Proportional to 364,435.44, 546,275.88 and 177,214.32

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Solution

The fourth proportional to 364,435.44, 546,275.88 and 177,214.32 is: 265,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,435.44 : 546,275.88 = 177,214.32 : x
  2. Step 2: Convert to fraction form
    364,435.44/546,275.88 = 177,214.32/x
  3. Step 3: Cross multiply
    364,435.44x = 546,275.88 × 177,214.32
  4. Step 4: Simplify right side
    364,435.44x = 96,807,908,606.60
  5. Step 5: Solve for x
    x = 96,807,908,606.60/364,435.44
  6. Step 6: Final answer
    x = 265,638.02

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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.