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Finding the Fourth Proportional to 301,541, 416,188.08 and 174,199.28

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Solution

The fourth proportional to 301,541, 416,188.08 and 174,199.28 is: 240,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,541 : 416,188.08 = 174,199.28 : x
  2. Step 2: Convert to fraction form
    301,541/416,188.08 = 174,199.28/x
  3. Step 3: Cross multiply
    301,541x = 416,188.08 × 174,199.28
  4. Step 4: Simplify right side
    301,541x = 72,499,663,880.58
  5. Step 5: Solve for x
    x = 72,499,663,880.58/301,541
  6. Step 6: Final answer
    x = 240,430.53

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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.