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Finding the Fourth Proportional to 316,052.81, 473,857.71 and 116,347.17

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Solution

The fourth proportional to 316,052.81, 473,857.71 and 116,347.17 is: 174,439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,052.81 : 473,857.71 = 116,347.17 : x
  2. Step 2: Convert to fraction form
    316,052.81/473,857.71 = 116,347.17/x
  3. Step 3: Cross multiply
    316,052.81x = 473,857.71 × 116,347.17
  4. Step 4: Simplify right side
    316,052.81x = 55,132,003,541.18
  5. Step 5: Solve for x
    x = 55,132,003,541.18/316,052.81
  6. Step 6: Final answer
    x = 174,439.21

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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.