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Finding the Fourth Proportional to 706,432.33, 974,878.37 and 384,142.24

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Solution

The fourth proportional to 706,432.33, 974,878.37 and 384,142.24 is: 530,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,432.33 : 974,878.37 = 384,142.24 : x
  2. Step 2: Convert to fraction form
    706,432.33/974,878.37 = 384,142.24/x
  3. Step 3: Cross multiply
    706,432.33x = 974,878.37 × 384,142.24
  4. Step 4: Simplify right side
    706,432.33x = 374,491,960,779.35
  5. Step 5: Solve for x
    x = 374,491,960,779.35/706,432.33
  6. Step 6: Final answer
    x = 530,117.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.