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Finding the Fourth Proportional to 569,336.90, 854,005.35 and 409,904.60

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Solution

The fourth proportional to 569,336.90, 854,005.35 and 409,904.60 is: 614,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,336.90 : 854,005.35 = 409,904.60 : x
  2. Step 2: Convert to fraction form
    569,336.90/854,005.35 = 409,904.60/x
  3. Step 3: Cross multiply
    569,336.90x = 854,005.35 × 409,904.60
  4. Step 4: Simplify right side
    569,336.90x = 350,060,721,389.61
  5. Step 5: Solve for x
    x = 350,060,721,389.61/569,336.90
  6. Step 6: Final answer
    x = 614,856.90

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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.