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Finding the Fourth Proportional to 302,909.16, 417,769.24 and 266,532.06

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Solution

The fourth proportional to 302,909.16, 417,769.24 and 266,532.06 is: 367,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,909.16 : 417,769.24 = 266,532.06 : x
  2. Step 2: Convert to fraction form
    302,909.16/417,769.24 = 266,532.06/x
  3. Step 3: Cross multiply
    302,909.16x = 417,769.24 × 266,532.06
  4. Step 4: Simplify right side
    302,909.16x = 111,348,896,141.83
  5. Step 5: Solve for x
    x = 111,348,896,141.83/302,909.16
  6. Step 6: Final answer
    x = 367,598.31

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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.