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Finding the Fourth Proportional to 382,802.10, 528,261.70 and 213,036.23

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Solution

The fourth proportional to 382,802.10, 528,261.70 and 213,036.23 is: 293,987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,802.10 : 528,261.70 = 213,036.23 : x
  2. Step 2: Convert to fraction form
    382,802.10/528,261.70 = 213,036.23/x
  3. Step 3: Cross multiply
    382,802.10x = 528,261.70 × 213,036.23
  4. Step 4: Simplify right side
    382,802.10x = 112,538,881,021.39
  5. Step 5: Solve for x
    x = 112,538,881,021.39/382,802.10
  6. Step 6: Final answer
    x = 293,987.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.