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Finding the Fourth Proportional to 375,462.69, 518,175.66 and 214,341.94

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Solution

The fourth proportional to 375,462.69, 518,175.66 and 214,341.94 is: 295,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,462.69 : 518,175.66 = 214,341.94 : x
  2. Step 2: Convert to fraction form
    375,462.69/518,175.66 = 214,341.94/x
  3. Step 3: Cross multiply
    375,462.69x = 518,175.66 × 214,341.94
  4. Step 4: Simplify right side
    375,462.69x = 111,066,776,225.18
  5. Step 5: Solve for x
    x = 111,066,776,225.18/375,462.69
  6. Step 6: Final answer
    x = 295,813.08

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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.