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Finding the Fourth Proportional to 313,877.40, 470,816.10 and 166,421.40

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Solution

The fourth proportional to 313,877.40, 470,816.10 and 166,421.40 is: 249,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,877.40 : 470,816.10 = 166,421.40 : x
  2. Step 2: Convert to fraction form
    313,877.40/470,816.10 = 166,421.40/x
  3. Step 3: Cross multiply
    313,877.40x = 470,816.10 × 166,421.40
  4. Step 4: Simplify right side
    313,877.40x = 78,353,874,504.54
  5. Step 5: Solve for x
    x = 78,353,874,504.54/313,877.40
  6. Step 6: Final answer
    x = 249,632.10

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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.