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Finding the Fourth Proportional to 563,637.76, 845,210.88 and 213,184

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Solution

The fourth proportional to 563,637.76, 845,210.88 and 213,184 is: 319,683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,637.76 : 845,210.88 = 213,184 : x
  2. Step 2: Convert to fraction form
    563,637.76/845,210.88 = 213,184/x
  3. Step 3: Cross multiply
    563,637.76x = 845,210.88 × 213,184
  4. Step 4: Simplify right side
    563,637.76x = 180,185,436,241.92
  5. Step 5: Solve for x
    x = 180,185,436,241.92/563,637.76
  6. Step 6: Final answer
    x = 319,683.05

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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.