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Finding the Fourth Proportional to 313,411.96, 470,185.35 and 97,266.40

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Solution

The fourth proportional to 313,411.96, 470,185.35 and 97,266.40 is: 145,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,411.96 : 470,185.35 = 97,266.40 : x
  2. Step 2: Convert to fraction form
    313,411.96/470,185.35 = 97,266.40/x
  3. Step 3: Cross multiply
    313,411.96x = 470,185.35 × 97,266.40
  4. Step 4: Simplify right side
    313,411.96x = 45,733,236,327.24
  5. Step 5: Solve for x
    x = 45,733,236,327.24/313,411.96
  6. Step 6: Final answer
    x = 145,920.52

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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.