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Finding the Fourth Proportional to 413,323.74, 570,318.84 and 243,534.78

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Solution

The fourth proportional to 413,323.74, 570,318.84 and 243,534.78 is: 336,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,323.74 : 570,318.84 = 243,534.78 : x
  2. Step 2: Convert to fraction form
    413,323.74/570,318.84 = 243,534.78/x
  3. Step 3: Cross multiply
    413,323.74x = 570,318.84 × 243,534.78
  4. Step 4: Simplify right side
    413,323.74x = 138,892,473,229.26
  5. Step 5: Solve for x
    x = 138,892,473,229.26/413,323.74
  6. Step 6: Final answer
    x = 336,037.98

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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.