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Finding the Fourth Proportional to 416,472.86, 574,633.69 and 253,126.51

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Solution

The fourth proportional to 416,472.86, 574,633.69 and 253,126.51 is: 349,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,472.86 : 574,633.69 = 253,126.51 : x
  2. Step 2: Convert to fraction form
    416,472.86/574,633.69 = 253,126.51/x
  3. Step 3: Cross multiply
    416,472.86x = 574,633.69 × 253,126.51
  4. Step 4: Simplify right side
    416,472.86x = 145,455,020,478.12
  5. Step 5: Solve for x
    x = 145,455,020,478.12/416,472.86
  6. Step 6: Final answer
    x = 349,254.50

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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.