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Finding the Fourth Proportional to 517,813.63, 714,803.75 and 348,146.17

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Solution

The fourth proportional to 517,813.63, 714,803.75 and 348,146.17 is: 480,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,813.63 : 714,803.75 = 348,146.17 : x
  2. Step 2: Convert to fraction form
    517,813.63/714,803.75 = 348,146.17/x
  3. Step 3: Cross multiply
    517,813.63x = 714,803.75 × 348,146.17
  4. Step 4: Simplify right side
    517,813.63x = 248,856,187,864.14
  5. Step 5: Solve for x
    x = 248,856,187,864.14/517,813.63
  6. Step 6: Final answer
    x = 480,590.26

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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.