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Finding the Fourth Proportional to 598,216.80, 897,616.80 and 456,013.20

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Solution

The fourth proportional to 598,216.80, 897,616.80 and 456,013.20 is: 684,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,216.80 : 897,616.80 = 456,013.20 : x
  2. Step 2: Convert to fraction form
    598,216.80/897,616.80 = 456,013.20/x
  3. Step 3: Cross multiply
    598,216.80x = 897,616.80 × 456,013.20
  4. Step 4: Simplify right side
    598,216.80x = 409,325,109,341.76
  5. Step 5: Solve for x
    x = 409,325,109,341.76/598,216.80
  6. Step 6: Final answer
    x = 684,242.08

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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.