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Finding the Fourth Proportional to 514,155.36, 709,351.92 and 334,996.32

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Solution

The fourth proportional to 514,155.36, 709,351.92 and 334,996.32 is: 462,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,155.36 : 709,351.92 = 334,996.32 : x
  2. Step 2: Convert to fraction form
    514,155.36/709,351.92 = 334,996.32/x
  3. Step 3: Cross multiply
    514,155.36x = 709,351.92 × 334,996.32
  4. Step 4: Simplify right side
    514,155.36x = 237,630,282,784.93
  5. Step 5: Solve for x
    x = 237,630,282,784.93/514,155.36
  6. Step 6: Final answer
    x = 462,176.03

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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.