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Finding the Fourth Proportional to 322,952.70, 484,210.35 and 165,051.30

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Solution

The fourth proportional to 322,952.70, 484,210.35 and 165,051.30 is: 247,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,952.70 : 484,210.35 = 165,051.30 : x
  2. Step 2: Convert to fraction form
    322,952.70/484,210.35 = 165,051.30/x
  3. Step 3: Cross multiply
    322,952.70x = 484,210.35 × 165,051.30
  4. Step 4: Simplify right side
    322,952.70x = 79,919,547,740.96
  5. Step 5: Solve for x
    x = 79,919,547,740.96/322,952.70
  6. Step 6: Final answer
    x = 247,465.18

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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.