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Finding the Fourth Proportional to 302,295.88, 416,827.32 and 233,228.02

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Solution

The fourth proportional to 302,295.88, 416,827.32 and 233,228.02 is: 321,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,295.88 : 416,827.32 = 233,228.02 : x
  2. Step 2: Convert to fraction form
    302,295.88/416,827.32 = 233,228.02/x
  3. Step 3: Cross multiply
    302,295.88x = 416,827.32 × 233,228.02
  4. Step 4: Simplify right side
    302,295.88x = 97,215,810,525.51
  5. Step 5: Solve for x
    x = 97,215,810,525.51/302,295.88
  6. Step 6: Final answer
    x = 321,591.58

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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.