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Finding the Fourth Proportional to 301,875.62, 416,598.34 and 165,914.40

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Solution

The fourth proportional to 301,875.62, 416,598.34 and 165,914.40 is: 228,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,875.62 : 416,598.34 = 165,914.40 : x
  2. Step 2: Convert to fraction form
    301,875.62/416,598.34 = 165,914.40/x
  3. Step 3: Cross multiply
    301,875.62x = 416,598.34 × 165,914.40
  4. Step 4: Simplify right side
    301,875.62x = 69,119,663,622.10
  5. Step 5: Solve for x
    x = 69,119,663,622.10/301,875.62
  6. Step 6: Final answer
    x = 228,967.36

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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.