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Finding the Fourth Proportional to 680,217.66, 1,014,877.00 and 542,800.72

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Solution

The fourth proportional to 680,217.66, 1,014,877.00 and 542,800.72 is: 809,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,217.66 : 1,014,877.00 = 542,800.72 : x
  2. Step 2: Convert to fraction form
    680,217.66/1,014,877.00 = 542,800.72/x
  3. Step 3: Cross multiply
    680,217.66x = 1,014,877.00 × 542,800.72
  4. Step 4: Simplify right side
    680,217.66x = 550,875,962,417.25
  5. Step 5: Solve for x
    x = 550,875,962,417.25/680,217.66
  6. Step 6: Final answer
    x = 809,852.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.