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Finding the Fourth Proportional to 507,810.36, 700,414.38 and 335,528.76

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Solution

The fourth proportional to 507,810.36, 700,414.38 and 335,528.76 is: 462,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,810.36 : 700,414.38 = 335,528.76 : x
  2. Step 2: Convert to fraction form
    507,810.36/700,414.38 = 335,528.76/x
  3. Step 3: Cross multiply
    507,810.36x = 700,414.38 × 335,528.76
  4. Step 4: Simplify right side
    507,810.36x = 235,009,168,407.57
  5. Step 5: Solve for x
    x = 235,009,168,407.57/507,810.36
  6. Step 6: Final answer
    x = 462,789.24

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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.