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Finding the Fourth Proportional to 645,341.94, 890,593.38 and 354,965.76

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Solution

The fourth proportional to 645,341.94, 890,593.38 and 354,965.76 is: 489,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,341.94 : 890,593.38 = 354,965.76 : x
  2. Step 2: Convert to fraction form
    645,341.94/890,593.38 = 354,965.76/x
  3. Step 3: Cross multiply
    645,341.94x = 890,593.38 × 354,965.76
  4. Step 4: Simplify right side
    645,341.94x = 316,130,155,982.67
  5. Step 5: Solve for x
    x = 316,130,155,982.67/645,341.94
  6. Step 6: Final answer
    x = 489,864.58

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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.