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Finding the Fourth Proportional to 310,576.96, 465,533.20 and 160,666.32

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Solution

The fourth proportional to 310,576.96, 465,533.20 and 160,666.32 is: 240,827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,576.96 : 465,533.20 = 160,666.32 : x
  2. Step 2: Convert to fraction form
    310,576.96/465,533.20 = 160,666.32/x
  3. Step 3: Cross multiply
    310,576.96x = 465,533.20 × 160,666.32
  4. Step 4: Simplify right side
    310,576.96x = 74,795,506,081.82
  5. Step 5: Solve for x
    x = 74,795,506,081.82/310,576.96
  6. Step 6: Final answer
    x = 240,827.61

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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.