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Finding the Fourth Proportional to 706,454.16, 974,911.32 and 384,167.76

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Solution

The fourth proportional to 706,454.16, 974,911.32 and 384,167.76 is: 530,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,454.16 : 974,911.32 = 384,167.76 : x
  2. Step 2: Convert to fraction form
    706,454.16/974,911.32 = 384,167.76/x
  3. Step 3: Cross multiply
    706,454.16x = 974,911.32 × 384,167.76
  4. Step 4: Simplify right side
    706,454.16x = 374,529,498,003.04
  5. Step 5: Solve for x
    x = 374,529,498,003.04/706,454.16
  6. Step 6: Final answer
    x = 530,154.00

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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.