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Finding the Fourth Proportional to 497,261.47, 686,303.13 and 293,362.30

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Solution

The fourth proportional to 497,261.47, 686,303.13 and 293,362.30 is: 404,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,261.47 : 686,303.13 = 293,362.30 : x
  2. Step 2: Convert to fraction form
    497,261.47/686,303.13 = 293,362.30/x
  3. Step 3: Cross multiply
    497,261.47x = 686,303.13 × 293,362.30
  4. Step 4: Simplify right side
    497,261.47x = 201,335,464,714.00
  5. Step 5: Solve for x
    x = 201,335,464,714.00/497,261.47
  6. Step 6: Final answer
    x = 404,888.53

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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.