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Finding the Fourth Proportional to 713,101.05, 983,642.16 and 582,468.50

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Solution

The fourth proportional to 713,101.05, 983,642.16 and 582,468.50 is: 803,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,101.05 : 983,642.16 = 582,468.50 : x
  2. Step 2: Convert to fraction form
    713,101.05/983,642.16 = 582,468.50/x
  3. Step 3: Cross multiply
    713,101.05x = 983,642.16 × 582,468.50
  4. Step 4: Simplify right side
    713,101.05x = 572,940,578,115.32
  5. Step 5: Solve for x
    x = 572,940,578,115.32/713,101.05
  6. Step 6: Final answer
    x = 803,449.35

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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.