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Finding the Fourth Proportional to 461,637.64, 692,533.02 and 162,040.50

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Solution

The fourth proportional to 461,637.64, 692,533.02 and 162,040.50 is: 243,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,637.64 : 692,533.02 = 162,040.50 : x
  2. Step 2: Convert to fraction form
    461,637.64/692,533.02 = 162,040.50/x
  3. Step 3: Cross multiply
    461,637.64x = 692,533.02 × 162,040.50
  4. Step 4: Simplify right side
    461,637.64x = 112,218,396,827.31
  5. Step 5: Solve for x
    x = 112,218,396,827.31/461,637.64
  6. Step 6: Final answer
    x = 243,087.62

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Why These Related Problems?

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