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Finding the Fourth Proportional to 375,726.75, 518,446.58 and 214,547.59

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Solution

The fourth proportional to 375,726.75, 518,446.58 and 214,547.59 is: 296,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,726.75 : 518,446.58 = 214,547.59 : x
  2. Step 2: Convert to fraction form
    375,726.75/518,446.58 = 214,547.59/x
  3. Step 3: Cross multiply
    375,726.75x = 518,446.58 × 214,547.59
  4. Step 4: Simplify right side
    375,726.75x = 111,231,460,941.80
  5. Step 5: Solve for x
    x = 111,231,460,941.80/375,726.75
  6. Step 6: Final answer
    x = 296,043.50

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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.