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Finding the Fourth Proportional to 295,115.40, 442,784.88 and 176,871.60

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Solution

The fourth proportional to 295,115.40, 442,784.88 and 176,871.60 is: 265,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,115.40 : 442,784.88 = 176,871.60 : x
  2. Step 2: Convert to fraction form
    295,115.40/442,784.88 = 176,871.60/x
  3. Step 3: Cross multiply
    295,115.40x = 442,784.88 × 176,871.60
  4. Step 4: Simplify right side
    295,115.40x = 78,316,070,181.41
  5. Step 5: Solve for x
    x = 78,316,070,181.41/295,115.40
  6. Step 6: Final answer
    x = 265,374.39

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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.