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Finding the Fourth Proportional to 499,823.95, 689,537.96 and 292,987.51

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Solution

The fourth proportional to 499,823.95, 689,537.96 and 292,987.51 is: 404,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,823.95 : 689,537.96 = 292,987.51 : x
  2. Step 2: Convert to fraction form
    499,823.95/689,537.96 = 292,987.51/x
  3. Step 3: Cross multiply
    499,823.95x = 689,537.96 × 292,987.51
  4. Step 4: Simplify right side
    499,823.95x = 202,026,009,950.88
  5. Step 5: Solve for x
    x = 202,026,009,950.88/499,823.95
  6. Step 6: Final answer
    x = 404,194.34

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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.