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Finding the Fourth Proportional to 315,700.54, 473,758.40 and 116,022.65

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Solution

The fourth proportional to 315,700.54, 473,758.40 and 116,022.65 is: 174,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,700.54 : 473,758.40 = 116,022.65 : x
  2. Step 2: Convert to fraction form
    315,700.54/473,758.40 = 116,022.65/x
  3. Step 3: Cross multiply
    315,700.54x = 473,758.40 × 116,022.65
  4. Step 4: Simplify right side
    315,700.54x = 54,966,702,949.02
  5. Step 5: Solve for x
    x = 54,966,702,949.02/315,700.54
  6. Step 6: Final answer
    x = 174,110.26

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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.