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Finding the Fourth Proportional to 462,823.60, 694,235.40 and 147,312.40

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Solution

The fourth proportional to 462,823.60, 694,235.40 and 147,312.40 is: 220,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,823.60 : 694,235.40 = 147,312.40 : x
  2. Step 2: Convert to fraction form
    462,823.60/694,235.40 = 147,312.40/x
  3. Step 3: Cross multiply
    462,823.60x = 694,235.40 × 147,312.40
  4. Step 4: Simplify right side
    462,823.60x = 102,269,482,938.96
  5. Step 5: Solve for x
    x = 102,269,482,938.96/462,823.60
  6. Step 6: Final answer
    x = 220,968.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.