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Finding the Fourth Proportional to 652,287.94, 900,164.75 and 361,904.83

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Solution

The fourth proportional to 652,287.94, 900,164.75 and 361,904.83 is: 499,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,287.94 : 900,164.75 = 361,904.83 : x
  2. Step 2: Convert to fraction form
    652,287.94/900,164.75 = 361,904.83/x
  3. Step 3: Cross multiply
    652,287.94x = 900,164.75 × 361,904.83
  4. Step 4: Simplify right side
    652,287.94x = 325,773,966,760.81
  5. Step 5: Solve for x
    x = 325,773,966,760.81/652,287.94
  6. Step 6: Final answer
    x = 499,432.76

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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.