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Finding the Fourth Proportional to 505,275.92, 697,507.56 and 333,295.28

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Solution

The fourth proportional to 505,275.92, 697,507.56 and 333,295.28 is: 460,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,275.92 : 697,507.56 = 333,295.28 : x
  2. Step 2: Convert to fraction form
    505,275.92/697,507.56 = 333,295.28/x
  3. Step 3: Cross multiply
    505,275.92x = 697,507.56 × 333,295.28
  4. Step 4: Simplify right side
    505,275.92x = 232,475,977,512.32
  5. Step 5: Solve for x
    x = 232,475,977,512.32/505,275.92
  6. Step 6: Final answer
    x = 460,097.08

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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.