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Finding the Fourth Proportional to 410,915.80, 615,984.90 and 242,565.40

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Solution

The fourth proportional to 410,915.80, 615,984.90 and 242,565.40 is: 363,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,915.80 : 615,984.90 = 242,565.40 : x
  2. Step 2: Convert to fraction form
    410,915.80/615,984.90 = 242,565.40/x
  3. Step 3: Cross multiply
    410,915.80x = 615,984.90 × 242,565.40
  4. Step 4: Simplify right side
    410,915.80x = 149,416,623,662.46
  5. Step 5: Solve for x
    x = 149,416,623,662.46/410,915.80
  6. Step 6: Final answer
    x = 363,618.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.