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Finding the Fourth Proportional to 310,613.94, 465,588.72 and 160,703.28

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Solution

The fourth proportional to 310,613.94, 465,588.72 and 160,703.28 is: 240,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,613.94 : 465,588.72 = 160,703.28 : x
  2. Step 2: Convert to fraction form
    310,613.94/465,588.72 = 160,703.28/x
  3. Step 3: Cross multiply
    310,613.94x = 465,588.72 × 160,703.28
  4. Step 4: Simplify right side
    310,613.94x = 74,821,634,435.00
  5. Step 5: Solve for x
    x = 74,821,634,435.00/310,613.94
  6. Step 6: Final answer
    x = 240,883.05

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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.