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Finding the Fourth Proportional to 310,705.58, 466,494.75 and 159,011.16

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Solution

The fourth proportional to 310,705.58, 466,494.75 and 159,011.16 is: 238,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,705.58 : 466,494.75 = 159,011.16 : x
  2. Step 2: Convert to fraction form
    310,705.58/466,494.75 = 159,011.16/x
  3. Step 3: Cross multiply
    310,705.58x = 466,494.75 × 159,011.16
  4. Step 4: Simplify right side
    310,705.58x = 74,177,871,331.41
  5. Step 5: Solve for x
    x = 74,177,871,331.41/310,705.58
  6. Step 6: Final answer
    x = 238,740.07

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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.