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Finding the Fourth Proportional to 430,146.40, 643,907.40 and 382,907.20

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Solution

The fourth proportional to 430,146.40, 643,907.40 and 382,907.20 is: 573,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,146.40 : 643,907.40 = 382,907.20 : x
  2. Step 2: Convert to fraction form
    430,146.40/643,907.40 = 382,907.20/x
  3. Step 3: Cross multiply
    430,146.40x = 643,907.40 × 382,907.20
  4. Step 4: Simplify right side
    430,146.40x = 246,556,779,593.28
  5. Step 5: Solve for x
    x = 246,556,779,593.28/430,146.40
  6. Step 6: Final answer
    x = 573,192.71

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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.