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Finding the Fourth Proportional to 276,678.30, 415,390.59 and 177,033

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Solution

The fourth proportional to 276,678.30, 415,390.59 and 177,033 is: 265,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,678.30 : 415,390.59 = 177,033 : x
  2. Step 2: Convert to fraction form
    276,678.30/415,390.59 = 177,033/x
  3. Step 3: Cross multiply
    276,678.30x = 415,390.59 × 177,033
  4. Step 4: Simplify right side
    276,678.30x = 73,537,842,319.47
  5. Step 5: Solve for x
    x = 73,537,842,319.47/276,678.30
  6. Step 6: Final answer
    x = 265,788.25

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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.