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Finding the Fourth Proportional to 419,184.39, 578,858.76 and 266,271.85

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Solution

The fourth proportional to 419,184.39, 578,858.76 and 266,271.85 is: 367,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,184.39 : 578,858.76 = 266,271.85 : x
  2. Step 2: Convert to fraction form
    419,184.39/578,858.76 = 266,271.85/x
  3. Step 3: Cross multiply
    419,184.39x = 578,858.76 × 266,271.85
  4. Step 4: Simplify right side
    419,184.39x = 154,133,792,913.91
  5. Step 5: Solve for x
    x = 154,133,792,913.91/419,184.39
  6. Step 6: Final answer
    x = 367,699.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.