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Finding the Fourth Proportional to 532,146.51, 797,795.93 and 307,251.83

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Solution

The fourth proportional to 532,146.51, 797,795.93 and 307,251.83 is: 460,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,146.51 : 797,795.93 = 307,251.83 : x
  2. Step 2: Convert to fraction form
    532,146.51/797,795.93 = 307,251.83/x
  3. Step 3: Cross multiply
    532,146.51x = 797,795.93 × 307,251.83
  4. Step 4: Simplify right side
    532,146.51x = 245,124,262,221.67
  5. Step 5: Solve for x
    x = 245,124,262,221.67/532,146.51
  6. Step 6: Final answer
    x = 460,633.04

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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.