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Finding the Fourth Proportional to 382,897.14, 574,345.50 and 102,407.10

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Solution

The fourth proportional to 382,897.14, 574,345.50 and 102,407.10 is: 153,610.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,897.14 : 574,345.50 = 102,407.10 : x
  2. Step 2: Convert to fraction form
    382,897.14/574,345.50 = 102,407.10/x
  3. Step 3: Cross multiply
    382,897.14x = 574,345.50 × 102,407.10
  4. Step 4: Simplify right side
    382,897.14x = 58,817,057,053.05
  5. Step 5: Solve for x
    x = 58,817,057,053.05/382,897.14
  6. Step 6: Final answer
    x = 153,610.59

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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.