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Finding the Fourth Proportional to 409,285.47, 614,347.14 and 337,980.92

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Solution

The fourth proportional to 409,285.47, 614,347.14 and 337,980.92 is: 507,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,285.47 : 614,347.14 = 337,980.92 : x
  2. Step 2: Convert to fraction form
    409,285.47/614,347.14 = 337,980.92/x
  3. Step 3: Cross multiply
    409,285.47x = 614,347.14 × 337,980.92
  4. Step 4: Simplify right side
    409,285.47x = 207,637,611,576.57
  5. Step 5: Solve for x
    x = 207,637,611,576.57/409,285.47
  6. Step 6: Final answer
    x = 507,317.33

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1.5x scale

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.