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Finding the Fourth Proportional to 285,416.80, 428,024.40 and 98,384.80

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Solution

The fourth proportional to 285,416.80, 428,024.40 and 98,384.80 is: 147,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,416.80 : 428,024.40 = 98,384.80 : x
  2. Step 2: Convert to fraction form
    285,416.80/428,024.40 = 98,384.80/x
  3. Step 3: Cross multiply
    285,416.80x = 428,024.40 × 98,384.80
  4. Step 4: Simplify right side
    285,416.80x = 42,111,094,989.12
  5. Step 5: Solve for x
    x = 42,111,094,989.12/285,416.80
  6. Step 6: Final answer
    x = 147,542.45

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1.5x scale

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.