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Finding the Fourth Proportional to 492,364.80, 738,547.20 and 281,829.60

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Solution

The fourth proportional to 492,364.80, 738,547.20 and 281,829.60 is: 422,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,364.80 : 738,547.20 = 281,829.60 : x
  2. Step 2: Convert to fraction form
    492,364.80/738,547.20 = 281,829.60/x
  3. Step 3: Cross multiply
    492,364.80x = 738,547.20 × 281,829.60
  4. Step 4: Simplify right side
    492,364.80x = 208,144,461,957.12
  5. Step 5: Solve for x
    x = 208,144,461,957.12/492,364.80
  6. Step 6: Final answer
    x = 422,744.40

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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.