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Finding the Fourth Proportional to 517,071.50, 713,567.58 and 287,647.10

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Solution

The fourth proportional to 517,071.50, 713,567.58 and 287,647.10 is: 396,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,071.50 : 713,567.58 = 287,647.10 : x
  2. Step 2: Convert to fraction form
    517,071.50/713,567.58 = 287,647.10/x
  3. Step 3: Cross multiply
    517,071.50x = 713,567.58 × 287,647.10
  4. Step 4: Simplify right side
    517,071.50x = 205,255,645,041.02
  5. Step 5: Solve for x
    x = 205,255,645,041.02/517,071.50
  6. Step 6: Final answer
    x = 396,957.95

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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.