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Finding the Fourth Proportional to 400,802.31, 553,107.38 and 219,525.66

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Solution

The fourth proportional to 400,802.31, 553,107.38 and 219,525.66 is: 302,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,802.31 : 553,107.38 = 219,525.66 : x
  2. Step 2: Convert to fraction form
    400,802.31/553,107.38 = 219,525.66/x
  3. Step 3: Cross multiply
    400,802.31x = 553,107.38 × 219,525.66
  4. Step 4: Simplify right side
    400,802.31x = 121,421,261,547.74
  5. Step 5: Solve for x
    x = 121,421,261,547.74/400,802.31
  6. Step 6: Final answer
    x = 302,945.51

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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.