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Finding the Fourth Proportional to 301,875.96, 416,598.20 and 165,907.44

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Solution

The fourth proportional to 301,875.96, 416,598.20 and 165,907.44 is: 228,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,875.96 : 416,598.20 = 165,907.44 : x
  2. Step 2: Convert to fraction form
    301,875.96/416,598.20 = 165,907.44/x
  3. Step 3: Cross multiply
    301,875.96x = 416,598.20 × 165,907.44
  4. Step 4: Simplify right side
    301,875.96x = 69,116,740,041.07
  5. Step 5: Solve for x
    x = 69,116,740,041.07/301,875.96
  6. Step 6: Final answer
    x = 228,957.42

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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.