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Finding the Fourth Proportional to 411,461.51, 617,187.81 and 312,231.11

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Solution

The fourth proportional to 411,461.51, 617,187.81 and 312,231.11 is: 468,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,461.51 : 617,187.81 = 312,231.11 : x
  2. Step 2: Convert to fraction form
    411,461.51/617,187.81 = 312,231.11/x
  3. Step 3: Cross multiply
    411,461.51x = 617,187.81 × 312,231.11
  4. Step 4: Simplify right side
    411,461.51x = 192,705,234,994.77
  5. Step 5: Solve for x
    x = 192,705,234,994.77/411,461.51
  6. Step 6: Final answer
    x = 468,343.28

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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.