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Finding the Fourth Proportional to 415,672.96, 573,628.56 and 224,686.24

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Solution

The fourth proportional to 415,672.96, 573,628.56 and 224,686.24 is: 310,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,672.96 : 573,628.56 = 224,686.24 : x
  2. Step 2: Convert to fraction form
    415,672.96/573,628.56 = 224,686.24/x
  3. Step 3: Cross multiply
    415,672.96x = 573,628.56 × 224,686.24
  4. Step 4: Simplify right side
    415,672.96x = 128,886,444,303.01
  5. Step 5: Solve for x
    x = 128,886,444,303.01/415,672.96
  6. Step 6: Final answer
    x = 310,066.94

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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.