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Finding the Fourth Proportional to 375,527.32, 518,248.44 and 214,434.10

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Solution

The fourth proportional to 375,527.32, 518,248.44 and 214,434.10 is: 295,930.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,527.32 : 518,248.44 = 214,434.10 : x
  2. Step 2: Convert to fraction form
    375,527.32/518,248.44 = 214,434.10/x
  3. Step 3: Cross multiply
    375,527.32x = 518,248.44 × 214,434.10
  4. Step 4: Simplify right side
    375,527.32x = 111,130,137,807.80
  5. Step 5: Solve for x
    x = 111,130,137,807.80/375,527.32
  6. Step 6: Final answer
    x = 295,930.90

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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.