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Finding the Fourth Proportional to 313,445.40, 470,168.10 and 308,779.80

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Solution

The fourth proportional to 313,445.40, 470,168.10 and 308,779.80 is: 463,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,445.40 : 470,168.10 = 308,779.80 : x
  2. Step 2: Convert to fraction form
    313,445.40/470,168.10 = 308,779.80/x
  3. Step 3: Cross multiply
    313,445.40x = 470,168.10 × 308,779.80
  4. Step 4: Simplify right side
    313,445.40x = 145,178,411,884.38
  5. Step 5: Solve for x
    x = 145,178,411,884.38/313,445.40
  6. Step 6: Final answer
    x = 463,169.70

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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.