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Finding the Fourth Proportional to 519,713.24, 779,597.35 and 164,754.95

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Solution

The fourth proportional to 519,713.24, 779,597.35 and 164,754.95 is: 247,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,713.24 : 779,597.35 = 164,754.95 : x
  2. Step 2: Convert to fraction form
    519,713.24/779,597.35 = 164,754.95/x
  3. Step 3: Cross multiply
    519,713.24x = 779,597.35 × 164,754.95
  4. Step 4: Simplify right side
    519,713.24x = 128,442,518,109.51
  5. Step 5: Solve for x
    x = 128,442,518,109.51/519,713.24
  6. Step 6: Final answer
    x = 247,141.13

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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.