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Finding the Fourth Proportional to 310,282.56, 465,562.08 and 162,504

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Solution

The fourth proportional to 310,282.56, 465,562.08 and 162,504 is: 243,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,282.56 : 465,562.08 = 162,504 : x
  2. Step 2: Convert to fraction form
    310,282.56/465,562.08 = 162,504/x
  3. Step 3: Cross multiply
    310,282.56x = 465,562.08 × 162,504
  4. Step 4: Simplify right side
    310,282.56x = 75,655,700,248.32
  5. Step 5: Solve for x
    x = 75,655,700,248.32/310,282.56
  6. Step 6: Final answer
    x = 243,828.40

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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.