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Finding the Fourth Proportional to 415,628.42, 573,565.35 and 224,641.35

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Solution

The fourth proportional to 415,628.42, 573,565.35 and 224,641.35 is: 310,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,628.42 : 573,565.35 = 224,641.35 : x
  2. Step 2: Convert to fraction form
    415,628.42/573,565.35 = 224,641.35/x
  3. Step 3: Cross multiply
    415,628.42x = 573,565.35 × 224,641.35
  4. Step 4: Simplify right side
    415,628.42x = 128,846,495,379.63
  5. Step 5: Solve for x
    x = 128,846,495,379.63/415,628.42
  6. Step 6: Final answer
    x = 310,004.06

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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.