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Finding the Fourth Proportional to 462,000.10, 645,225.50 and 462,000.10

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Solution

The fourth proportional to 462,000.10, 645,225.50 and 462,000.10 is: 645,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,000.10 : 645,225.50 = 462,000.10 : x
  2. Step 2: Convert to fraction form
    462,000.10/645,225.50 = 462,000.10/x
  3. Step 3: Cross multiply
    462,000.10x = 645,225.50 × 462,000.10
  4. Step 4: Simplify right side
    462,000.10x = 298,094,245,522.55
  5. Step 5: Solve for x
    x = 298,094,245,522.55/462,000.10
  6. Step 6: Final answer
    x = 645,225.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.