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Finding the Fourth Proportional to 497,461, 686,501.04 and 271,111.36

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Solution

The fourth proportional to 497,461, 686,501.04 and 271,111.36 is: 374,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,461 : 686,501.04 = 271,111.36 : x
  2. Step 2: Convert to fraction form
    497,461/686,501.04 = 271,111.36/x
  3. Step 3: Cross multiply
    497,461x = 686,501.04 × 271,111.36
  4. Step 4: Simplify right side
    497,461x = 186,118,230,595.81
  5. Step 5: Solve for x
    x = 186,118,230,595.81/497,461
  6. Step 6: Final answer
    x = 374,136.33

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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.