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Finding the Fourth Proportional to 301,077.47, 415,448.71 and 165,075.62

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Solution

The fourth proportional to 301,077.47, 415,448.71 and 165,075.62 is: 227,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,077.47 : 415,448.71 = 165,075.62 : x
  2. Step 2: Convert to fraction form
    301,077.47/415,448.71 = 165,075.62/x
  3. Step 3: Cross multiply
    301,077.47x = 415,448.71 × 165,075.62
  4. Step 4: Simplify right side
    301,077.47x = 68,580,454,007.38
  5. Step 5: Solve for x
    x = 68,580,454,007.38/301,077.47
  6. Step 6: Final answer
    x = 227,783.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.