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Finding the Fourth Proportional to 509,624.79, 703,282.65 and 280,185.98

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Solution

The fourth proportional to 509,624.79, 703,282.65 and 280,185.98 is: 386,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,624.79 : 703,282.65 = 280,185.98 : x
  2. Step 2: Convert to fraction form
    509,624.79/703,282.65 = 280,185.98/x
  3. Step 3: Cross multiply
    509,624.79x = 703,282.65 × 280,185.98
  4. Step 4: Simplify right side
    509,624.79x = 197,049,938,507.25
  5. Step 5: Solve for x
    x = 197,049,938,507.25/509,624.79
  6. Step 6: Final answer
    x = 386,656.89

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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.