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Finding the Fourth Proportional to 517,851.19, 714,441.26 and 517,052.87

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Solution

The fourth proportional to 517,851.19, 714,441.26 and 517,052.87 is: 713,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,851.19 : 714,441.26 = 517,052.87 : x
  2. Step 2: Convert to fraction form
    517,851.19/714,441.26 = 517,052.87/x
  3. Step 3: Cross multiply
    517,851.19x = 714,441.26 × 517,052.87
  4. Step 4: Simplify right side
    517,851.19x = 369,403,897,771.95
  5. Step 5: Solve for x
    x = 369,403,897,771.95/517,851.19
  6. Step 6: Final answer
    x = 713,339.87

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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.