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Finding the Fourth Proportional to 406,001.40, 609,002.10 and 384,228.60

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Solution

The fourth proportional to 406,001.40, 609,002.10 and 384,228.60 is: 576,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,001.40 : 609,002.10 = 384,228.60 : x
  2. Step 2: Convert to fraction form
    406,001.40/609,002.10 = 384,228.60/x
  3. Step 3: Cross multiply
    406,001.40x = 609,002.10 × 384,228.60
  4. Step 4: Simplify right side
    406,001.40x = 233,996,024,280.06
  5. Step 5: Solve for x
    x = 233,996,024,280.06/406,001.40
  6. Step 6: Final answer
    x = 576,342.90

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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.