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Finding the Fourth Proportional to 316,242.84, 474,427.68 and 116,564.16

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Solution

The fourth proportional to 316,242.84, 474,427.68 and 116,564.16 is: 174,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,242.84 : 474,427.68 = 116,564.16 : x
  2. Step 2: Convert to fraction form
    316,242.84/474,427.68 = 116,564.16/x
  3. Step 3: Cross multiply
    316,242.84x = 474,427.68 × 116,564.16
  4. Step 4: Simplify right side
    316,242.84x = 55,301,263,999.95
  5. Step 5: Solve for x
    x = 55,301,263,999.95/316,242.84
  6. Step 6: Final answer
    x = 174,869.62

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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.