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Finding the Fourth Proportional to 410,347.50, 614,259.99 and 349,813.01

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Solution

The fourth proportional to 410,347.50, 614,259.99 and 349,813.01 is: 523,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,347.50 : 614,259.99 = 349,813.01 : x
  2. Step 2: Convert to fraction form
    410,347.50/614,259.99 = 349,813.01/x
  3. Step 3: Cross multiply
    410,347.50x = 614,259.99 × 349,813.01
  4. Step 4: Simplify right side
    410,347.50x = 214,876,132,953.17
  5. Step 5: Solve for x
    x = 214,876,132,953.17/410,347.50
  6. Step 6: Final answer
    x = 523,644.31

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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.