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Finding the Fourth Proportional to 582,973.89, 872,904.42 and 342,887.46

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Solution

The fourth proportional to 582,973.89, 872,904.42 and 342,887.46 is: 513,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,973.89 : 872,904.42 = 342,887.46 : x
  2. Step 2: Convert to fraction form
    582,973.89/872,904.42 = 342,887.46/x
  3. Step 3: Cross multiply
    582,973.89x = 872,904.42 × 342,887.46
  4. Step 4: Simplify right side
    582,973.89x = 299,307,979,396.57
  5. Step 5: Solve for x
    x = 299,307,979,396.57/582,973.89
  6. Step 6: Final answer
    x = 513,415.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.