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Finding the Fourth Proportional to 410,783.40, 616,175.10 and 340,799.40

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Solution

The fourth proportional to 410,783.40, 616,175.10 and 340,799.40 is: 511,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,783.40 : 616,175.10 = 340,799.40 : x
  2. Step 2: Convert to fraction form
    410,783.40/616,175.10 = 340,799.40/x
  3. Step 3: Cross multiply
    410,783.40x = 616,175.10 × 340,799.40
  4. Step 4: Simplify right side
    410,783.40x = 209,992,104,374.94
  5. Step 5: Solve for x
    x = 209,992,104,374.94/410,783.40
  6. Step 6: Final answer
    x = 511,199.10

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1.5x scale

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.