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Finding the Fourth Proportional to 514,736.16, 709,448.76 and 342,345.84

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Solution

The fourth proportional to 514,736.16, 709,448.76 and 342,345.84 is: 471,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,736.16 : 709,448.76 = 342,345.84 : x
  2. Step 2: Convert to fraction form
    514,736.16/709,448.76 = 342,345.84/x
  3. Step 3: Cross multiply
    514,736.16x = 709,448.76 × 342,345.84
  4. Step 4: Simplify right side
    514,736.16x = 242,876,831,679.16
  5. Step 5: Solve for x
    x = 242,876,831,679.16/514,736.16
  6. Step 6: Final answer
    x = 471,847.23

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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.