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Finding the Fourth Proportional to 315,869.48, 473,990.88 and 116,330.12

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Solution

The fourth proportional to 315,869.48, 473,990.88 and 116,330.12 is: 174,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,869.48 : 473,990.88 = 116,330.12 : x
  2. Step 2: Convert to fraction form
    315,869.48/473,990.88 = 116,330.12/x
  3. Step 3: Cross multiply
    315,869.48x = 473,990.88 × 116,330.12
  4. Step 4: Simplify right side
    315,869.48x = 55,139,415,949.31
  5. Step 5: Solve for x
    x = 55,139,415,949.31/315,869.48
  6. Step 6: Final answer
    x = 174,563.92

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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.