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Finding the Fourth Proportional to 742,507.95, 1,024,661.39 and 402,976.20

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Solution

The fourth proportional to 742,507.95, 1,024,661.39 and 402,976.20 is: 556,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,507.95 : 1,024,661.39 = 402,976.20 : x
  2. Step 2: Convert to fraction form
    742,507.95/1,024,661.39 = 402,976.20/x
  3. Step 3: Cross multiply
    742,507.95x = 1,024,661.39 × 402,976.20
  4. Step 4: Simplify right side
    742,507.95x = 412,914,153,228.92
  5. Step 5: Solve for x
    x = 412,914,153,228.92/742,507.95
  6. Step 6: Final answer
    x = 556,107.38

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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.