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Finding the Fourth Proportional to 313,439.04, 470,345.22 and 113,774.94

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Solution

The fourth proportional to 313,439.04, 470,345.22 and 113,774.94 is: 170,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,439.04 : 470,345.22 = 113,774.94 : x
  2. Step 2: Convert to fraction form
    313,439.04/470,345.22 = 113,774.94/x
  3. Step 3: Cross multiply
    313,439.04x = 470,345.22 × 113,774.94
  4. Step 4: Simplify right side
    313,439.04x = 53,513,499,184.79
  5. Step 5: Solve for x
    x = 53,513,499,184.79/313,439.04
  6. Step 6: Final answer
    x = 170,730.17

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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.