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Finding the Fourth Proportional to 413,510.00, 570,860.53 and 278,255.12

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Solution

The fourth proportional to 413,510.00, 570,860.53 and 278,255.12 is: 384,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,510.00 : 570,860.53 = 278,255.12 : x
  2. Step 2: Convert to fraction form
    413,510.00/570,860.53 = 278,255.12/x
  3. Step 3: Cross multiply
    413,510.00x = 570,860.53 × 278,255.12
  4. Step 4: Simplify right side
    413,510.00x = 158,844,861,728.47
  5. Step 5: Solve for x
    x = 158,844,861,728.47/413,510.00
  6. Step 6: Final answer
    x = 384,137.90

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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.