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Finding the Fourth Proportional to 415,742.10, 573,710.12 and 262,862.58

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Solution

The fourth proportional to 415,742.10, 573,710.12 and 262,862.58 is: 362,741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,742.10 : 573,710.12 = 262,862.58 : x
  2. Step 2: Convert to fraction form
    415,742.10/573,710.12 = 262,862.58/x
  3. Step 3: Cross multiply
    415,742.10x = 573,710.12 × 262,862.58
  4. Step 4: Simplify right side
    415,742.10x = 150,806,922,315.31
  5. Step 5: Solve for x
    x = 150,806,922,315.31/415,742.10
  6. Step 6: Final answer
    x = 362,741.52

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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.