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Finding the Fourth Proportional to 507,912.84, 700,925.96 and 293,097.60

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Solution

The fourth proportional to 507,912.84, 700,925.96 and 293,097.60 is: 404,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,912.84 : 700,925.96 = 293,097.60 : x
  2. Step 2: Convert to fraction form
    507,912.84/700,925.96 = 293,097.60/x
  3. Step 3: Cross multiply
    507,912.84x = 700,925.96 × 293,097.60
  4. Step 4: Simplify right side
    507,912.84x = 205,439,716,653.70
  5. Step 5: Solve for x
    x = 205,439,716,653.70/507,912.84
  6. Step 6: Final answer
    x = 404,478.29

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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.