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Finding the Fourth Proportional to 514,277.64, 772,152.75 and 314,993.34

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Solution

The fourth proportional to 514,277.64, 772,152.75 and 314,993.34 is: 472,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,277.64 : 772,152.75 = 314,993.34 : x
  2. Step 2: Convert to fraction form
    514,277.64/772,152.75 = 314,993.34/x
  3. Step 3: Cross multiply
    514,277.64x = 772,152.75 × 314,993.34
  4. Step 4: Simplify right side
    514,277.64x = 243,222,973,712.69
  5. Step 5: Solve for x
    x = 243,222,973,712.69/514,277.64
  6. Step 6: Final answer
    x = 472,940.99

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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.