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Finding the Fourth Proportional to 415,216.71, 569,261.64 and 407,649.69

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Solution

The fourth proportional to 415,216.71, 569,261.64 and 407,649.69 is: 558,887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,216.71 : 569,261.64 = 407,649.69 : x
  2. Step 2: Convert to fraction form
    415,216.71/569,261.64 = 407,649.69/x
  3. Step 3: Cross multiply
    415,216.71x = 569,261.64 × 407,649.69
  4. Step 4: Simplify right side
    415,216.71x = 232,059,331,074.89
  5. Step 5: Solve for x
    x = 232,059,331,074.89/415,216.71
  6. Step 6: Final answer
    x = 558,887.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.