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Finding the Fourth Proportional to 410,467.76, 566,440.13 and 229,182.77

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Solution

The fourth proportional to 410,467.76, 566,440.13 and 229,182.77 is: 316,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,467.76 : 566,440.13 = 229,182.77 : x
  2. Step 2: Convert to fraction form
    410,467.76/566,440.13 = 229,182.77/x
  3. Step 3: Cross multiply
    410,467.76x = 566,440.13 × 229,182.77
  4. Step 4: Simplify right side
    410,467.76x = 129,818,314,054.45
  5. Step 5: Solve for x
    x = 129,818,314,054.45/410,467.76
  6. Step 6: Final answer
    x = 316,269.21

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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.