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Finding the Fourth Proportional to 706,113.91, 974,440.65 and 383,824

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Solution

The fourth proportional to 706,113.91, 974,440.65 and 383,824 is: 529,679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,113.91 : 974,440.65 = 383,824 : x
  2. Step 2: Convert to fraction form
    706,113.91/974,440.65 = 383,824/x
  3. Step 3: Cross multiply
    706,113.91x = 974,440.65 × 383,824
  4. Step 4: Simplify right side
    706,113.91x = 374,013,708,045.60
  5. Step 5: Solve for x
    x = 374,013,708,045.60/706,113.91
  6. Step 6: Final answer
    x = 529,679.00

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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.