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Finding the Fourth Proportional to 614,405.76, 847,897.92 and 359,733.12

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Solution

The fourth proportional to 614,405.76, 847,897.92 and 359,733.12 is: 496,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,405.76 : 847,897.92 = 359,733.12 : x
  2. Step 2: Convert to fraction form
    614,405.76/847,897.92 = 359,733.12/x
  3. Step 3: Cross multiply
    614,405.76x = 847,897.92 × 359,733.12
  4. Step 4: Simplify right side
    614,405.76x = 305,016,964,203.11
  5. Step 5: Solve for x
    x = 305,016,964,203.11/614,405.76
  6. Step 6: Final answer
    x = 496,442.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.