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Finding the Fourth Proportional to 706,117.41, 974,445.48 and 383,827.50

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Solution

The fourth proportional to 706,117.41, 974,445.48 and 383,827.50 is: 529,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,117.41 : 974,445.48 = 383,827.50 : x
  2. Step 2: Convert to fraction form
    706,117.41/974,445.48 = 383,827.50/x
  3. Step 3: Cross multiply
    706,117.41x = 974,445.48 × 383,827.50
  4. Step 4: Simplify right side
    706,117.41x = 374,018,972,474.70
  5. Step 5: Solve for x
    x = 374,018,972,474.70/706,117.41
  6. Step 6: Final answer
    x = 529,683.83

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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.