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Finding the Fourth Proportional to 413,647.12, 570,894.74 and 252,595.54

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Solution

The fourth proportional to 413,647.12, 570,894.74 and 252,595.54 is: 348,619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,647.12 : 570,894.74 = 252,595.54 : x
  2. Step 2: Convert to fraction form
    413,647.12/570,894.74 = 252,595.54/x
  3. Step 3: Cross multiply
    413,647.12x = 570,894.74 × 252,595.54
  4. Step 4: Simplify right side
    413,647.12x = 144,205,465,133.46
  5. Step 5: Solve for x
    x = 144,205,465,133.46/413,647.12
  6. Step 6: Final answer
    x = 348,619.53

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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.