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Finding the Fourth Proportional to 426,125.44, 588,265.95 and 265,032.46

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Solution

The fourth proportional to 426,125.44, 588,265.95 and 265,032.46 is: 365,877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,125.44 : 588,265.95 = 265,032.46 : x
  2. Step 2: Convert to fraction form
    426,125.44/588,265.95 = 265,032.46/x
  3. Step 3: Cross multiply
    426,125.44x = 588,265.95 × 265,032.46
  4. Step 4: Simplify right side
    426,125.44x = 155,909,571,862.74
  5. Step 5: Solve for x
    x = 155,909,571,862.74/426,125.44
  6. Step 6: Final answer
    x = 365,877.17

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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.