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Finding the Fourth Proportional to 301,762.88, 416,439.76 and 165,805.32

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Solution

The fourth proportional to 301,762.88, 416,439.76 and 165,805.32 is: 228,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,762.88 : 416,439.76 = 165,805.32 : x
  2. Step 2: Convert to fraction form
    301,762.88/416,439.76 = 165,805.32/x
  3. Step 3: Cross multiply
    301,762.88x = 416,439.76 × 165,805.32
  4. Step 4: Simplify right side
    301,762.88x = 69,047,927,667.52
  5. Step 5: Solve for x
    x = 69,047,927,667.52/301,762.88
  6. Step 6: Final answer
    x = 228,815.18

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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.