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Finding the Fourth Proportional to 362,214.10, 508,149.50 and 362,214.10

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Solution

The fourth proportional to 362,214.10, 508,149.50 and 362,214.10 is: 508,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,214.10 : 508,149.50 = 362,214.10 : x
  2. Step 2: Convert to fraction form
    362,214.10/508,149.50 = 362,214.10/x
  3. Step 3: Cross multiply
    362,214.10x = 508,149.50 × 362,214.10
  4. Step 4: Simplify right side
    362,214.10x = 184,058,913,807.95
  5. Step 5: Solve for x
    x = 184,058,913,807.95/362,214.10
  6. Step 6: Final answer
    x = 508,149.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.