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Finding the Fourth Proportional to 310,055.80, 465,083.70 and 270,689.80

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Solution

The fourth proportional to 310,055.80, 465,083.70 and 270,689.80 is: 406,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,055.80 : 465,083.70 = 270,689.80 : x
  2. Step 2: Convert to fraction form
    310,055.80/465,083.70 = 270,689.80/x
  3. Step 3: Cross multiply
    310,055.80x = 465,083.70 × 270,689.80
  4. Step 4: Simplify right side
    310,055.80x = 125,893,413,736.26
  5. Step 5: Solve for x
    x = 125,893,413,736.26/310,055.80
  6. Step 6: Final answer
    x = 406,034.70

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1.5x scale

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.