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Finding the Fourth Proportional to 706,024.79, 974,320.14 and 383,734.80

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Solution

The fourth proportional to 706,024.79, 974,320.14 and 383,734.80 is: 529,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,024.79 : 974,320.14 = 383,734.80 : x
  2. Step 2: Convert to fraction form
    706,024.79/974,320.14 = 383,734.80/x
  3. Step 3: Cross multiply
    706,024.79x = 974,320.14 × 383,734.80
  4. Step 4: Simplify right side
    706,024.79x = 373,880,544,058.87
  5. Step 5: Solve for x
    x = 373,880,544,058.87/706,024.79
  6. Step 6: Final answer
    x = 529,557.25

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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.