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Finding the Fourth Proportional to 415,848.80, 573,870.94 and 224,861.74

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Solution

The fourth proportional to 415,848.80, 573,870.94 and 224,861.74 is: 310,308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,848.80 : 573,870.94 = 224,861.74 : x
  2. Step 2: Convert to fraction form
    415,848.80/573,870.94 = 224,861.74/x
  3. Step 3: Cross multiply
    415,848.80x = 573,870.94 × 224,861.74
  4. Step 4: Simplify right side
    415,848.80x = 129,041,616,107.00
  5. Step 5: Solve for x
    x = 129,041,616,107.00/415,848.80
  6. Step 6: Final answer
    x = 310,308.98

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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.