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Finding the Fourth Proportional to 553,097.84, 829,767.72 and 179,158.64

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Solution

The fourth proportional to 553,097.84, 829,767.72 and 179,158.64 is: 268,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,097.84 : 829,767.72 = 179,158.64 : x
  2. Step 2: Convert to fraction form
    553,097.84/829,767.72 = 179,158.64/x
  3. Step 3: Cross multiply
    553,097.84x = 829,767.72 × 179,158.64
  4. Step 4: Simplify right side
    553,097.84x = 148,660,056,231.10
  5. Step 5: Solve for x
    x = 148,660,056,231.10/553,097.84
  6. Step 6: Final answer
    x = 268,777.14

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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.