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Finding the Fourth Proportional to 313,468.59, 470,368.95 and 136,100.13

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Solution

The fourth proportional to 313,468.59, 470,368.95 and 136,100.13 is: 204,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,468.59 : 470,368.95 = 136,100.13 : x
  2. Step 2: Convert to fraction form
    313,468.59/470,368.95 = 136,100.13/x
  3. Step 3: Cross multiply
    313,468.59x = 470,368.95 × 136,100.13
  4. Step 4: Simplify right side
    313,468.59x = 64,017,275,242.96
  5. Step 5: Solve for x
    x = 64,017,275,242.96/313,468.59
  6. Step 6: Final answer
    x = 204,222.30

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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.