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Finding the Fourth Proportional to 409,897.35, 614,946.05 and 157,173.30

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Solution

The fourth proportional to 409,897.35, 614,946.05 and 157,173.30 is: 235,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,897.35 : 614,946.05 = 157,173.30 : x
  2. Step 2: Convert to fraction form
    409,897.35/614,946.05 = 157,173.30/x
  3. Step 3: Cross multiply
    409,897.35x = 614,946.05 × 157,173.30
  4. Step 4: Simplify right side
    409,897.35x = 96,653,099,214.60
  5. Step 5: Solve for x
    x = 96,653,099,214.60/409,897.35
  6. Step 6: Final answer
    x = 235,798.30

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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.