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Finding the Fourth Proportional to 519,352.11, 778,950.06 and 164,319.93

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Solution

The fourth proportional to 519,352.11, 778,950.06 and 164,319.93 is: 246,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,352.11 : 778,950.06 = 164,319.93 : x
  2. Step 2: Convert to fraction form
    519,352.11/778,950.06 = 164,319.93/x
  3. Step 3: Cross multiply
    519,352.11x = 778,950.06 × 164,319.93
  4. Step 4: Simplify right side
    519,352.11x = 127,997,019,332.70
  5. Step 5: Solve for x
    x = 127,997,019,332.70/519,352.11
  6. Step 6: Final answer
    x = 246,455.18

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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.