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Finding the Fourth Proportional to 344,565.40, 475,510.56 and 208,624.24

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Solution

The fourth proportional to 344,565.40, 475,510.56 and 208,624.24 is: 287,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,565.40 : 475,510.56 = 208,624.24 : x
  2. Step 2: Convert to fraction form
    344,565.40/475,510.56 = 208,624.24/x
  3. Step 3: Cross multiply
    344,565.40x = 475,510.56 × 208,624.24
  4. Step 4: Simplify right side
    344,565.40x = 99,203,029,191.97
  5. Step 5: Solve for x
    x = 99,203,029,191.97/344,565.40
  6. Step 6: Final answer
    x = 287,907.69

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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.