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Finding the Fourth Proportional to 423,098.61, 634,051.15 and 233,644.27

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Solution

The fourth proportional to 423,098.61, 634,051.15 and 233,644.27 is: 350,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,098.61 : 634,051.15 = 233,644.27 : x
  2. Step 2: Convert to fraction form
    423,098.61/634,051.15 = 233,644.27/x
  3. Step 3: Cross multiply
    423,098.61x = 634,051.15 × 233,644.27
  4. Step 4: Simplify right side
    423,098.61x = 148,142,415,915.17
  5. Step 5: Solve for x
    x = 148,142,415,915.17/423,098.61
  6. Step 6: Final answer
    x = 350,136.85

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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.