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Finding the Fourth Proportional to 706,117.72, 974,443.11 and 383,827.81

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Solution

The fourth proportional to 706,117.72, 974,443.11 and 383,827.81 is: 529,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,117.72 : 974,443.11 = 383,827.81 : x
  2. Step 2: Convert to fraction form
    706,117.72/974,443.11 = 383,827.81/x
  3. Step 3: Cross multiply
    706,117.72x = 974,443.11 × 383,827.81
  4. Step 4: Simplify right side
    706,117.72x = 374,018,362,961.75
  5. Step 5: Solve for x
    x = 374,018,362,961.75/706,117.72
  6. Step 6: Final answer
    x = 529,682.73

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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.