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Finding the Fourth Proportional to 417,147.48, 575,106.66 and 331,390.98

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Solution

The fourth proportional to 417,147.48, 575,106.66 and 331,390.98 is: 456,877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,147.48 : 575,106.66 = 331,390.98 : x
  2. Step 2: Convert to fraction form
    417,147.48/575,106.66 = 331,390.98/x
  3. Step 3: Cross multiply
    417,147.48x = 575,106.66 × 331,390.98
  4. Step 4: Simplify right side
    417,147.48x = 190,585,159,661.93
  5. Step 5: Solve for x
    x = 190,585,159,661.93/417,147.48
  6. Step 6: Final answer
    x = 456,877.17

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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.