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Finding the Fourth Proportional to 413,655.56, 570,782.51 and 232,332.77

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Solution

The fourth proportional to 413,655.56, 570,782.51 and 232,332.77 is: 320,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,655.56 : 570,782.51 = 232,332.77 : x
  2. Step 2: Convert to fraction form
    413,655.56/570,782.51 = 232,332.77/x
  3. Step 3: Cross multiply
    413,655.56x = 570,782.51 × 232,332.77
  4. Step 4: Simplify right side
    413,655.56x = 132,611,478,761.94
  5. Step 5: Solve for x
    x = 132,611,478,761.94/413,655.56
  6. Step 6: Final answer
    x = 320,584.30

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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.