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Finding the Fourth Proportional to 322,626.64, 484,038.42 and 164,965.84

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Solution

The fourth proportional to 322,626.64, 484,038.42 and 164,965.84 is: 247,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,626.64 : 484,038.42 = 164,965.84 : x
  2. Step 2: Convert to fraction form
    322,626.64/484,038.42 = 164,965.84/x
  3. Step 3: Cross multiply
    322,626.64x = 484,038.42 × 164,965.84
  4. Step 4: Simplify right side
    322,626.64x = 79,849,804,547.57
  5. Step 5: Solve for x
    x = 79,849,804,547.57/322,626.64
  6. Step 6: Final answer
    x = 247,499.10

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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.