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Finding the Fourth Proportional to 505,453.60, 696,957.28 and 413,285.32

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Solution

The fourth proportional to 505,453.60, 696,957.28 and 413,285.32 is: 569,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,453.60 : 696,957.28 = 413,285.32 : x
  2. Step 2: Convert to fraction form
    505,453.60/696,957.28 = 413,285.32/x
  3. Step 3: Cross multiply
    505,453.60x = 696,957.28 × 413,285.32
  4. Step 4: Simplify right side
    505,453.60x = 288,042,212,491.13
  5. Step 5: Solve for x
    x = 288,042,212,491.13/505,453.60
  6. Step 6: Final answer
    x = 569,868.75

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1.5x scale

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.