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Finding the Fourth Proportional to 517,176.77, 713,701.76 and 287,756.01

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Solution

The fourth proportional to 517,176.77, 713,701.76 and 287,756.01 is: 397,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,176.77 : 713,701.76 = 287,756.01 : x
  2. Step 2: Convert to fraction form
    517,176.77/713,701.76 = 287,756.01/x
  3. Step 3: Cross multiply
    517,176.77x = 713,701.76 × 287,756.01
  4. Step 4: Simplify right side
    517,176.77x = 205,371,969,348.80
  5. Step 5: Solve for x
    x = 205,371,969,348.80/517,176.77
  6. Step 6: Final answer
    x = 397,102.08

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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.