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Finding the Fourth Proportional to 376,052.80, 565,000.80 and 282,740.80

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Solution

The fourth proportional to 376,052.80, 565,000.80 and 282,740.80 is: 424,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,052.80 : 565,000.80 = 282,740.80 : x
  2. Step 2: Convert to fraction form
    376,052.80/565,000.80 = 282,740.80/x
  3. Step 3: Cross multiply
    376,052.80x = 565,000.80 × 282,740.80
  4. Step 4: Simplify right side
    376,052.80x = 159,748,778,192.64
  5. Step 5: Solve for x
    x = 159,748,778,192.64/376,052.80
  6. Step 6: Final answer
    x = 424,804.12

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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.