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Finding the Fourth Proportional to 228,065.65, 314,729.81 and 127,463.65

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Solution

The fourth proportional to 228,065.65, 314,729.81 and 127,463.65 is: 175,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,065.65 : 314,729.81 = 127,463.65 : x
  2. Step 2: Convert to fraction form
    228,065.65/314,729.81 = 127,463.65/x
  3. Step 3: Cross multiply
    228,065.65x = 314,729.81 × 127,463.65
  4. Step 4: Simplify right side
    228,065.65x = 40,116,608,922.26
  5. Step 5: Solve for x
    x = 40,116,608,922.26/228,065.65
  6. Step 6: Final answer
    x = 175,899.39

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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.