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Finding the Fourth Proportional to 415,437.06, 573,302.84 and 224,450.40

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Solution

The fourth proportional to 415,437.06, 573,302.84 and 224,450.40 is: 309,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,437.06 : 573,302.84 = 224,450.40 : x
  2. Step 2: Convert to fraction form
    415,437.06/573,302.84 = 224,450.40/x
  3. Step 3: Cross multiply
    415,437.06x = 573,302.84 × 224,450.40
  4. Step 4: Simplify right side
    415,437.06x = 128,678,050,636.88
  5. Step 5: Solve for x
    x = 128,678,050,636.88/415,437.06
  6. Step 6: Final answer
    x = 309,741.39

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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.