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Finding the Fourth Proportional to 678,793.69, 936,705 and 407,011.60

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Solution

The fourth proportional to 678,793.69, 936,705 and 407,011.60 is: 561,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,793.69 : 936,705 = 407,011.60 : x
  2. Step 2: Convert to fraction form
    678,793.69/936,705 = 407,011.60/x
  3. Step 3: Cross multiply
    678,793.69x = 936,705 × 407,011.60
  4. Step 4: Simplify right side
    678,793.69x = 381,249,800,778
  5. Step 5: Solve for x
    x = 381,249,800,778/678,793.69
  6. Step 6: Final answer
    x = 561,657.84

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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.