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Finding the Fourth Proportional to 415,820.56, 573,829.58 and 234,533.98

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Solution

The fourth proportional to 415,820.56, 573,829.58 and 234,533.98 is: 323,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,820.56 : 573,829.58 = 234,533.98 : x
  2. Step 2: Convert to fraction form
    415,820.56/573,829.58 = 234,533.98/x
  3. Step 3: Cross multiply
    415,820.56x = 573,829.58 × 234,533.98
  4. Step 4: Simplify right side
    415,820.56x = 134,582,535,239.13
  5. Step 5: Solve for x
    x = 134,582,535,239.13/415,820.56
  6. Step 6: Final answer
    x = 323,655.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.