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Finding the Fourth Proportional to 472,088.88, 708,259.68 and 205,871.04

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Solution

The fourth proportional to 472,088.88, 708,259.68 and 205,871.04 is: 308,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,088.88 : 708,259.68 = 205,871.04 : x
  2. Step 2: Convert to fraction form
    472,088.88/708,259.68 = 205,871.04/x
  3. Step 3: Cross multiply
    472,088.88x = 708,259.68 × 205,871.04
  4. Step 4: Simplify right side
    472,088.88x = 145,810,156,911.67
  5. Step 5: Solve for x
    x = 145,810,156,911.67/472,088.88
  6. Step 6: Final answer
    x = 308,861.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.