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Finding the Fourth Proportional to 475,835.76, 656,653.77 and 260,980.02

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Solution

The fourth proportional to 475,835.76, 656,653.77 and 260,980.02 is: 360,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,835.76 : 656,653.77 = 260,980.02 : x
  2. Step 2: Convert to fraction form
    475,835.76/656,653.77 = 260,980.02/x
  3. Step 3: Cross multiply
    475,835.76x = 656,653.77 × 260,980.02
  4. Step 4: Simplify right side
    475,835.76x = 171,373,514,027.68
  5. Step 5: Solve for x
    x = 171,373,514,027.68/475,835.76
  6. Step 6: Final answer
    x = 360,152.66

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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.