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Finding the Fourth Proportional to 477,677.50, 716,522.40 and 140,641.52

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Solution

The fourth proportional to 477,677.50, 716,522.40 and 140,641.52 is: 210,964.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,677.50 : 716,522.40 = 140,641.52 : x
  2. Step 2: Convert to fraction form
    477,677.50/716,522.40 = 140,641.52/x
  3. Step 3: Cross multiply
    477,677.50x = 716,522.40 × 140,641.52
  4. Step 4: Simplify right side
    477,677.50x = 100,772,795,867.44
  5. Step 5: Solve for x
    x = 100,772,795,867.44/477,677.50
  6. Step 6: Final answer
    x = 210,964.08

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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.