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Finding the Fourth Proportional to 614,587, 921,975.48 and 209,684.41

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Solution

The fourth proportional to 614,587, 921,975.48 and 209,684.41 is: 314,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,587 : 921,975.48 = 209,684.41 : x
  2. Step 2: Convert to fraction form
    614,587/921,975.48 = 209,684.41/x
  3. Step 3: Cross multiply
    614,587x = 921,975.48 × 209,684.41
  4. Step 4: Simplify right side
    614,587x = 193,323,884,558.27
  5. Step 5: Solve for x
    x = 193,323,884,558.27/614,587
  6. Step 6: Final answer
    x = 314,559.02

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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.