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Finding the Fourth Proportional to 385,548.30, 578,345.13 and 148,892.22

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Solution

The fourth proportional to 385,548.30, 578,345.13 and 148,892.22 is: 223,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,548.30 : 578,345.13 = 148,892.22 : x
  2. Step 2: Convert to fraction form
    385,548.30/578,345.13 = 148,892.22/x
  3. Step 3: Cross multiply
    385,548.30x = 578,345.13 × 148,892.22
  4. Step 4: Simplify right side
    385,548.30x = 86,111,090,331.89
  5. Step 5: Solve for x
    x = 86,111,090,331.89/385,548.30
  6. Step 6: Final answer
    x = 223,347.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.