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Finding the Fourth Proportional to 477,953.40, 717,318.90 and 462,401.40

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Solution

The fourth proportional to 477,953.40, 717,318.90 and 462,401.40 is: 693,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,953.40 : 717,318.90 = 462,401.40 : x
  2. Step 2: Convert to fraction form
    477,953.40/717,318.90 = 462,401.40/x
  3. Step 3: Cross multiply
    477,953.40x = 717,318.90 × 462,401.40
  4. Step 4: Simplify right side
    477,953.40x = 331,689,263,606.46
  5. Step 5: Solve for x
    x = 331,689,263,606.46/477,953.40
  6. Step 6: Final answer
    x = 693,978.25

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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.