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Finding the Fourth Proportional to 385,506.90, 578,001.15 and 205,622.10

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Solution

The fourth proportional to 385,506.90, 578,001.15 and 205,622.10 is: 308,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,506.90 : 578,001.15 = 205,622.10 : x
  2. Step 2: Convert to fraction form
    385,506.90/578,001.15 = 205,622.10/x
  3. Step 3: Cross multiply
    385,506.90x = 578,001.15 × 205,622.10
  4. Step 4: Simplify right side
    385,506.90x = 118,849,810,265.42
  5. Step 5: Solve for x
    x = 118,849,810,265.42/385,506.90
  6. Step 6: Final answer
    x = 308,294.90

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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.