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Finding the Fourth Proportional to 413,501.10, 620,251.65 and 312,461.70

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Solution

The fourth proportional to 413,501.10, 620,251.65 and 312,461.70 is: 468,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,501.10 : 620,251.65 = 312,461.70 : x
  2. Step 2: Convert to fraction form
    413,501.10/620,251.65 = 312,461.70/x
  3. Step 3: Cross multiply
    413,501.10x = 620,251.65 × 312,461.70
  4. Step 4: Simplify right side
    413,501.10x = 193,804,884,986.81
  5. Step 5: Solve for x
    x = 193,804,884,986.81/413,501.10
  6. Step 6: Final answer
    x = 468,692.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.