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Finding the Fourth Proportional to 517,312.91, 775,960.38 and 232,802.12

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Solution

The fourth proportional to 517,312.91, 775,960.38 and 232,802.12 is: 349,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,312.91 : 775,960.38 = 232,802.12 : x
  2. Step 2: Convert to fraction form
    517,312.91/775,960.38 = 232,802.12/x
  3. Step 3: Cross multiply
    517,312.91x = 775,960.38 × 232,802.12
  4. Step 4: Simplify right side
    517,312.91x = 180,645,223,439.91
  5. Step 5: Solve for x
    x = 180,645,223,439.91/517,312.91
  6. Step 6: Final answer
    x = 349,199.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.