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Finding the Fourth Proportional to 310,329.34, 428,254.77 and 176,193.34

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Solution

The fourth proportional to 310,329.34, 428,254.77 and 176,193.34 is: 243,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,329.34 : 428,254.77 = 176,193.34 : x
  2. Step 2: Convert to fraction form
    310,329.34/428,254.77 = 176,193.34/x
  3. Step 3: Cross multiply
    310,329.34x = 428,254.77 × 176,193.34
  4. Step 4: Simplify right side
    310,329.34x = 75,455,638,297.23
  5. Step 5: Solve for x
    x = 75,455,638,297.23/310,329.34
  6. Step 6: Final answer
    x = 243,146.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.