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Finding the Fourth Proportional to 415,713.57, 573,685.59 and 224,726.96

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Solution

The fourth proportional to 415,713.57, 573,685.59 and 224,726.96 is: 310,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,713.57 : 573,685.59 = 224,726.96 : x
  2. Step 2: Convert to fraction form
    415,713.57/573,685.59 = 224,726.96/x
  3. Step 3: Cross multiply
    415,713.57x = 573,685.59 × 224,726.96
  4. Step 4: Simplify right side
    415,713.57x = 128,922,618,636.51
  5. Step 5: Solve for x
    x = 128,922,618,636.51/415,713.57
  6. Step 6: Final answer
    x = 310,123.67

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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.