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Finding the Fourth Proportional to 517,727.04, 714,345.12 and 291,289.92

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Solution

The fourth proportional to 517,727.04, 714,345.12 and 291,289.92 is: 401,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,727.04 : 714,345.12 = 291,289.92 : x
  2. Step 2: Convert to fraction form
    517,727.04/714,345.12 = 291,289.92/x
  3. Step 3: Cross multiply
    517,727.04x = 714,345.12 × 291,289.92
  4. Step 4: Simplify right side
    517,727.04x = 208,081,532,857.19
  5. Step 5: Solve for x
    x = 208,081,532,857.19/517,727.04
  6. Step 6: Final answer
    x = 401,913.59

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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.