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Finding the Fourth Proportional to 507,355.38, 700,155.57 and 306,112.50

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Solution

The fourth proportional to 507,355.38, 700,155.57 and 306,112.50 is: 422,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,355.38 : 700,155.57 = 306,112.50 : x
  2. Step 2: Convert to fraction form
    507,355.38/700,155.57 = 306,112.50/x
  3. Step 3: Cross multiply
    507,355.38x = 700,155.57 × 306,112.50
  4. Step 4: Simplify right side
    507,355.38x = 214,326,371,921.63
  5. Step 5: Solve for x
    x = 214,326,371,921.63/507,355.38
  6. Step 6: Final answer
    x = 422,438.35

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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.