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Finding the Fourth Proportional to 553,069.64, 829,776.71 and 198,086.74

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Solution

The fourth proportional to 553,069.64, 829,776.71 and 198,086.74 is: 297,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,069.64 : 829,776.71 = 198,086.74 : x
  2. Step 2: Convert to fraction form
    553,069.64/829,776.71 = 198,086.74/x
  3. Step 3: Cross multiply
    553,069.64x = 829,776.71 × 198,086.74
  4. Step 4: Simplify right side
    553,069.64x = 164,367,758,272.51
  5. Step 5: Solve for x
    x = 164,367,758,272.51/553,069.64
  6. Step 6: Final answer
    x = 297,191.79

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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.