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Finding the Fourth Proportional to 382,973.76, 574,543.22 and 190,952.88

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Solution

The fourth proportional to 382,973.76, 574,543.22 and 190,952.88 is: 286,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,973.76 : 574,543.22 = 190,952.88 : x
  2. Step 2: Convert to fraction form
    382,973.76/574,543.22 = 190,952.88/x
  3. Step 3: Cross multiply
    382,973.76x = 574,543.22 × 190,952.88
  4. Step 4: Simplify right side
    382,973.76x = 109,710,679,434.17
  5. Step 5: Solve for x
    x = 109,710,679,434.17/382,973.76
  6. Step 6: Final answer
    x = 286,470.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.