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Finding the Fourth Proportional to 514,176.36, 709,380.90 and 335,017.32

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Solution

The fourth proportional to 514,176.36, 709,380.90 and 335,017.32 is: 462,205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,176.36 : 709,380.90 = 335,017.32 : x
  2. Step 2: Convert to fraction form
    514,176.36/709,380.90 = 335,017.32/x
  3. Step 3: Cross multiply
    514,176.36x = 709,380.90 × 335,017.32
  4. Step 4: Simplify right side
    514,176.36x = 237,654,887,977.19
  5. Step 5: Solve for x
    x = 237,654,887,977.19/514,176.36
  6. Step 6: Final answer
    x = 462,205.01

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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.