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Finding the Fourth Proportional to 686,586.88, 947,312 and 414,439.68

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Solution

The fourth proportional to 686,586.88, 947,312 and 414,439.68 is: 571,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,586.88 : 947,312 = 414,439.68 : x
  2. Step 2: Convert to fraction form
    686,586.88/947,312 = 414,439.68/x
  3. Step 3: Cross multiply
    686,586.88x = 947,312 × 414,439.68
  4. Step 4: Simplify right side
    686,586.88x = 392,603,682,140.16
  5. Step 5: Solve for x
    x = 392,603,682,140.16/686,586.88
  6. Step 6: Final answer
    x = 571,819.38

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1.5x scale

Why These Related Problems?

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