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Finding the Fourth Proportional to 292,298.34, 403,405.73 and 243,153.14

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Solution

The fourth proportional to 292,298.34, 403,405.73 and 243,153.14 is: 335,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,298.34 : 403,405.73 = 243,153.14 : x
  2. Step 2: Convert to fraction form
    292,298.34/403,405.73 = 243,153.14/x
  3. Step 3: Cross multiply
    292,298.34x = 403,405.73 × 243,153.14
  4. Step 4: Simplify right side
    292,298.34x = 98,089,369,943.49
  5. Step 5: Solve for x
    x = 98,089,369,943.49/292,298.34
  6. Step 6: Final answer
    x = 335,579.63

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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.