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Finding the Fourth Proportional to 477,732.96, 716,442.48 and 211,487.76

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Solution

The fourth proportional to 477,732.96, 716,442.48 and 211,487.76 is: 317,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,732.96 : 716,442.48 = 211,487.76 : x
  2. Step 2: Convert to fraction form
    477,732.96/716,442.48 = 211,487.76/x
  3. Step 3: Cross multiply
    477,732.96x = 716,442.48 × 211,487.76
  4. Step 4: Simplify right side
    477,732.96x = 151,518,815,264.05
  5. Step 5: Solve for x
    x = 151,518,815,264.05/477,732.96
  6. Step 6: Final answer
    x = 317,162.16

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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.