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Finding the Fourth Proportional to 301,829.68, 416,526.06 and 174,504.16

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Solution

The fourth proportional to 301,829.68, 416,526.06 and 174,504.16 is: 240,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,829.68 : 416,526.06 = 174,504.16 : x
  2. Step 2: Convert to fraction form
    301,829.68/416,526.06 = 174,504.16/x
  3. Step 3: Cross multiply
    301,829.68x = 416,526.06 × 174,504.16
  4. Step 4: Simplify right side
    301,829.68x = 72,685,530,218.41
  5. Step 5: Solve for x
    x = 72,685,530,218.41/301,829.68
  6. Step 6: Final answer
    x = 240,816.38

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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.