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Finding the Fourth Proportional to 614,456.16, 847,602.20 and 384,614.46

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Solution

The fourth proportional to 614,456.16, 847,602.20 and 384,614.46 is: 530,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,456.16 : 847,602.20 = 384,614.46 : x
  2. Step 2: Convert to fraction form
    614,456.16/847,602.20 = 384,614.46/x
  3. Step 3: Cross multiply
    614,456.16x = 847,602.20 × 384,614.46
  4. Step 4: Simplify right side
    614,456.16x = 326,000,063,409.35
  5. Step 5: Solve for x
    x = 326,000,063,409.35/614,456.16
  6. Step 6: Final answer
    x = 530,550.57

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