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Finding the Fourth Proportional to 346,407.84, 478,090.35 and 203,214.02

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Solution

The fourth proportional to 346,407.84, 478,090.35 and 203,214.02 is: 280,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,407.84 : 478,090.35 = 203,214.02 : x
  2. Step 2: Convert to fraction form
    346,407.84/478,090.35 = 203,214.02/x
  3. Step 3: Cross multiply
    346,407.84x = 478,090.35 × 203,214.02
  4. Step 4: Simplify right side
    346,407.84x = 97,154,659,556.26
  5. Step 5: Solve for x
    x = 97,154,659,556.26/346,407.84
  6. Step 6: Final answer
    x = 280,463.22

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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.