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Finding the Fourth Proportional to 364,059.42, 502,419.06 and 202,915.50

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Solution

The fourth proportional to 364,059.42, 502,419.06 and 202,915.50 is: 280,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,059.42 : 502,419.06 = 202,915.50 : x
  2. Step 2: Convert to fraction form
    364,059.42/502,419.06 = 202,915.50/x
  3. Step 3: Cross multiply
    364,059.42x = 502,419.06 × 202,915.50
  4. Step 4: Simplify right side
    364,059.42x = 101,948,614,769.43
  5. Step 5: Solve for x
    x = 101,948,614,769.43/364,059.42
  6. Step 6: Final answer
    x = 280,032.90

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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.