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Finding the Fourth Proportional to 417,117.52, 575,316.43 and 273,825.28

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Solution

The fourth proportional to 417,117.52, 575,316.43 and 273,825.28 is: 377,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,117.52 : 575,316.43 = 273,825.28 : x
  2. Step 2: Convert to fraction form
    417,117.52/575,316.43 = 273,825.28/x
  3. Step 3: Cross multiply
    417,117.52x = 575,316.43 × 273,825.28
  4. Step 4: Simplify right side
    417,117.52x = 157,536,182,533.35
  5. Step 5: Solve for x
    x = 157,536,182,533.35/417,117.52
  6. Step 6: Final answer
    x = 377,678.17

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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.