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Finding the Fourth Proportional to 706,192.96, 974,534.80 and 383,911.20

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Solution

The fourth proportional to 706,192.96, 974,534.80 and 383,911.20 is: 529,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,192.96 : 974,534.80 = 383,911.20 : x
  2. Step 2: Convert to fraction form
    706,192.96/974,534.80 = 383,911.20/x
  3. Step 3: Cross multiply
    706,192.96x = 974,534.80 × 383,911.20
  4. Step 4: Simplify right side
    706,192.96x = 374,134,824,509.76
  5. Step 5: Solve for x
    x = 374,134,824,509.76/706,192.96
  6. Step 6: Final answer
    x = 529,791.21

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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.