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Finding the Fourth Proportional to 706,032.46, 974,334.64 and 383,742.46

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Solution

The fourth proportional to 706,032.46, 974,334.64 and 383,742.46 is: 529,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,032.46 : 974,334.64 = 383,742.46 : x
  2. Step 2: Convert to fraction form
    706,032.46/974,334.64 = 383,742.46/x
  3. Step 3: Cross multiply
    706,032.46x = 974,334.64 × 383,742.46
  4. Step 4: Simplify right side
    706,032.46x = 373,893,571,616.81
  5. Step 5: Solve for x
    x = 373,893,571,616.81/706,032.46
  6. Step 6: Final answer
    x = 529,569.95

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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.