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Finding the Fourth Proportional to 415,062, 572,568.93 and 262,045.17

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Solution

The fourth proportional to 415,062, 572,568.93 and 262,045.17 is: 361,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,062 : 572,568.93 = 262,045.17 : x
  2. Step 2: Convert to fraction form
    415,062/572,568.93 = 262,045.17/x
  3. Step 3: Cross multiply
    415,062x = 572,568.93 × 262,045.17
  4. Step 4: Simplify right side
    415,062x = 150,038,922,598.57
  5. Step 5: Solve for x
    x = 150,038,922,598.57/415,062
  6. Step 6: Final answer
    x = 361,485.57

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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.