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Finding the Fourth Proportional to 534,875.60, 738,031.56 and 343,845.20

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Solution

The fourth proportional to 534,875.60, 738,031.56 and 343,845.20 is: 474,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,875.60 : 738,031.56 = 343,845.20 : x
  2. Step 2: Convert to fraction form
    534,875.60/738,031.56 = 343,845.20/x
  3. Step 3: Cross multiply
    534,875.60x = 738,031.56 × 343,845.20
  4. Step 4: Simplify right side
    534,875.60x = 253,768,609,354.51
  5. Step 5: Solve for x
    x = 253,768,609,354.51/534,875.60
  6. Step 6: Final answer
    x = 474,444.17

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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.