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Finding the Fourth Proportional to 333,264, 459,903.11 and 180,302.25

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Solution

The fourth proportional to 333,264, 459,903.11 and 180,302.25 is: 248,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,264 : 459,903.11 = 180,302.25 : x
  2. Step 2: Convert to fraction form
    333,264/459,903.11 = 180,302.25/x
  3. Step 3: Cross multiply
    333,264x = 459,903.11 × 180,302.25
  4. Step 4: Simplify right side
    333,264x = 82,921,564,613.49
  5. Step 5: Solve for x
    x = 82,921,564,613.49/333,264
  6. Step 6: Final answer
    x = 248,816.45

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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.