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Finding the Fourth Proportional to 496,856.16, 745,020 and 364,060.80

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Solution

The fourth proportional to 496,856.16, 745,020 and 364,060.80 is: 545,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,856.16 : 745,020 = 364,060.80 : x
  2. Step 2: Convert to fraction form
    496,856.16/745,020 = 364,060.80/x
  3. Step 3: Cross multiply
    496,856.16x = 745,020 × 364,060.80
  4. Step 4: Simplify right side
    496,856.16x = 271,232,577,216
  5. Step 5: Solve for x
    x = 271,232,577,216/496,856.16
  6. Step 6: Final answer
    x = 545,897.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.