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Finding the Fourth Proportional to 446,754.47, 616,518.88 and 242,802.14

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Solution

The fourth proportional to 446,754.47, 616,518.88 and 242,802.14 is: 335,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,754.47 : 616,518.88 = 242,802.14 : x
  2. Step 2: Convert to fraction form
    446,754.47/616,518.88 = 242,802.14/x
  3. Step 3: Cross multiply
    446,754.47x = 616,518.88 × 242,802.14
  4. Step 4: Simplify right side
    446,754.47x = 149,692,099,724.80
  5. Step 5: Solve for x
    x = 149,692,099,724.80/446,754.47
  6. Step 6: Final answer
    x = 335,065.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.