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Finding the Fourth Proportional to 375,710, 518,532.84 and 232,516.16

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Solution

The fourth proportional to 375,710, 518,532.84 and 232,516.16 is: 320,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,710 : 518,532.84 = 232,516.16 : x
  2. Step 2: Convert to fraction form
    375,710/518,532.84 = 232,516.16/x
  3. Step 3: Cross multiply
    375,710x = 518,532.84 × 232,516.16
  4. Step 4: Simplify right side
    375,710x = 120,567,264,790.69
  5. Step 5: Solve for x
    x = 120,567,264,790.69/375,710
  6. Step 6: Final answer
    x = 320,905.13

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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.