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Finding the Fourth Proportional to 416,746.56, 575,109.54 and 225,764.76

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Solution

The fourth proportional to 416,746.56, 575,109.54 and 225,764.76 is: 311,554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,746.56 : 575,109.54 = 225,764.76 : x
  2. Step 2: Convert to fraction form
    416,746.56/575,109.54 = 225,764.76/x
  3. Step 3: Cross multiply
    416,746.56x = 575,109.54 × 225,764.76
  4. Step 4: Simplify right side
    416,746.56x = 129,839,467,271.81
  5. Step 5: Solve for x
    x = 129,839,467,271.81/416,746.56
  6. Step 6: Final answer
    x = 311,554.98

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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.