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Finding the Fourth Proportional to 657,833.80, 907,825.54 and 386,097.68

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Solution

The fourth proportional to 657,833.80, 907,825.54 and 386,097.68 is: 532,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,833.80 : 907,825.54 = 386,097.68 : x
  2. Step 2: Convert to fraction form
    657,833.80/907,825.54 = 386,097.68/x
  3. Step 3: Cross multiply
    657,833.80x = 907,825.54 × 386,097.68
  4. Step 4: Simplify right side
    657,833.80x = 350,509,334,838.75
  5. Step 5: Solve for x
    x = 350,509,334,838.75/657,833.80
  6. Step 6: Final answer
    x = 532,823.54

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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.