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Finding the Fourth Proportional to 314,503.56, 471,552.84 and 229,145.76

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Solution

The fourth proportional to 314,503.56, 471,552.84 and 229,145.76 is: 343,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,503.56 : 471,552.84 = 229,145.76 : x
  2. Step 2: Convert to fraction form
    314,503.56/471,552.84 = 229,145.76/x
  3. Step 3: Cross multiply
    314,503.56x = 471,552.84 × 229,145.76
  4. Step 4: Simplify right side
    314,503.56x = 108,054,333,901.96
  5. Step 5: Solve for x
    x = 108,054,333,901.96/314,503.56
  6. Step 6: Final answer
    x = 343,571.10

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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.